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:: MSC 20(2016:07), Group Theory and generalizations ::
 | Post date: 2016/08/3 | 

CMP Issue 2016:07

  • Paulsen, William H. (Book). Abstract algebra. An interactive approach. Second edition [of refmr MR2555349endrefmr]. Textbooks in Mathematics. CRC Press, Boca Raton, FL, 2016. xxix+619pp. 978-1-4987-1976-6.

20B PERMUTATION GROUPS

  • Buekenhout, Francis (with De Saedeleer, Julie; Leemans, Dimitri). Two-transitive pairs in ${rm PSL}(2,q)$. (English summary). Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 1, 33--55.
  • Burness, Timothy C. (with Tong-Viet, Hung P.). Primitive permutation groups and derangements of prime power order. (English summary). Manuscripta Math. 150 (2016), no. 1-2, 255--291.
  • Fawcett, Joanna B. (with Praeger, Cheryl E.). Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples. (English summary). Arch. Math. (Basel) 106 (2016), no. 4, 305--314.
  • Guest, Simon David 2 (with Morris, Joy; Praeger, Cheryl E.; Spiga, Pablo). Finite primitive permutation groups containing a permutation having at most four cycles. (English summary). J. Algebra 454 (2016), 233--251.
  • Huang, Zhaohong (with Pan, Jiangmin; Ding, Suyun; Liu, Zhe 2). Automorphism groups of self-complementary vertex-transitive graphs. (English summary). Bull. Aust. Math. Soc. 93 (2016), no. 2, 238--247.
  • Wiscons, Joshua. A reduction theorem for primitive binary permutation groups. (English summary). Bull. Lond. Math. Soc. 48 (2016), no. 2, 291--299.

20C REPRESENTATION THEORY OF GROUPS

  • Babaei, Esmaeil (with Zamani, Yousef; Shahryari, Mohammad). Symmetry classes of polynomials. (English summary). Comm. Algebra 44 (2016), no. 4, 1514--1530.
  • Belonogov, V. A. On the semiproportional character conjecture in groups $rm{Sp}_4(q)$. (English summary). Proc. Steklov Inst. Math. 283 (2013), suppl. 1, S6--S23.
  • Beloshapka, Iulia (with Gorchinskii, S. O.). Irreducible representations of nilpotent finitely generated groups. (Russian. Russian summary). Mat. Sb. 207 (2016), no. 1, 45--72.
  • Calmes, Baptiste (with Zainoulline, Kirill; Zhong, Changlong). A coproduct structure on the formal affine Demazure algebra. (English summary). Math. Z. 282 (2016), no. 3-4, 1191--1218.
  • Chan, Kei Yuen. Duality for Ext-groups and extensions of discrete series for graded Hecke algebras. (English summary). Adv. Math. 294 (2016), 410--453.
  • Giannelli, Eugenio (with Lim, Kay Jin; Wildon, Mark J.). Sylow subgroups of symmetric and alternating groups and the vertex of $S^{(kp-p,1^p)}$ in characteristic $p$. (English summary). J. Algebra 455 (2016), 358--385.
  • Giannelli, Eugenio (with Wildon, Mark J.). Indecomposable summands of Foulkes modules. (English summary). J. Pure Appl. Algebra 220 (2016), no. 8, 2969--2984.
  • Khosravi, Behrooz (with Khosravi, Behnam; Khosravi, Bahman). A new characterization for some extensions of ${rm PSL}(2, q)$ for some $q$ by some character degrees. (English summary). Proc. Indian Acad. Sci. Math. Sci. 126 (2016), no. 1, 49--59.
  • Lubeck, Frank (with Malle, Gunter). A Murnaghan-Nakayama rule for values of unipotent characters in classical groups. (English summary). Represent. Theory 20 (2016), 139--161.
  • Malle, Gunter (with Navarro Ortega, Gabriel; Spath, Britta). Invariant blocks under coprime actions. (English summary). Doc. Math. 20 (2015), 491--506.
  • Regev, Alon (with Regev, Amitai; Zeilberger, Doron). Identities in character tables of $S_n$. (English summary). J. Difference Equ. Appl. 22 (2016), no. 2, 272--279.
  • Sniady, Piotr. Combinatorics of asymptotic representation theory. (English summary). European Congress of Mathematics, 531--545, Eur. Math. Soc., Zurich, 2013.
  • Szechtman, Fernando. Groups having a faithful irreducible representation. (English summary). J. Algebra 454 (2016), 292--307.

20D ABSTRACT FINITE GROUPS

  • Aschbacher, Michael G. Overgroups of root groups in classical groups. (English summary). Mem. Amer. Math. Soc. 241 (2016), no. 1140, v+184pp.
  • Azad, Azizollah (with ELahinezhad, N.). On the Szeged and eccentric connectivity indices of non-commutative graph of finite groups. (English summary). Casp. J. Math. Sci. 4 (2015), no. 1, 43--49.
  • Ballester-Bolinches, Adolfo (with Beidleman, James Clark; Ragland, Matthew F.). Some characterisations of soluble SST-groups. (English summary). Comm. Algebra 44 (2016), no. 4, 1821--1827.
  • Chirik, I. K. Finite factorizable groups with solvable $roman{K}Bbb{P}^2$-subnormal subgroups. (Russian. Russian summary). Mat. Zametki 99 (2016), no. 1, 97--101.
  • Crestani, Eleonora (with Lucchini, Andrea 2). Large $P$-groups without proper subgroups with the same derived length. (English summary). Glasg. Math. J. 58 (2016), no. 2, 445--459.
  • EniOluwafe, Michael. Counting subgroups of nonmetacyclic groups of type: $D_{2^{n-1}}times C_2,ngeq 3$. (English summary). 4eme atelier annuel sur la CRyptographie, Algebre et Geometrie (CRAG-4)/4th Annual Workshop on CRyptography, Algebra and Geometry (CRAG-4), 25--27, Imhotep Math. Proc., 2.1, IMHOTEP---Afr. J. Pure Appl. Math., Ngaoundere, 2015.
  • Flavell, Paul. Automorphisms of soluble groups. (English summary). Proc. Lond. Math. Soc. (3) 112 (2016), no. 4, 623--650.
  • Hashemi, Mansour (with Polkouei, M.). $n$th-roots and $n$-centrality of finite 2-generator $p$-groups of nilpotency class 2. (English summary). J. Algebra Relat. Topics 3 (2015), no. 2, 61--71.
  • Heliel, A. A. (with Ballester-Bolinches, Adolfo; Esteban-Romero, Ramon; Al-Mestady, Mohammed O.). $germ{Z}$-permutable subgroups of finite groups. (English summary). Monatsh. Math. 179 (2016), no. 4, 523--534.
  • Jain, Vivek Kumar. On the isomorphism classes of transversals III. (English summary). J. Indian Math. Soc. (N.S.) 82 (2015), no. 3-4, 83--96.
  • Khalili Asboei, Alireza (with Mohammadyari, Reza). Characterization of the alternating groups by their order and one conjugacy class length. (English summary). Czechoslovak Math. J. 66(141) (2016), no. 1, 63--70.
  • Khosravi, Behrooz (with Khosravi, Behnam; Khosravi, Bahman; Momen, Zahra). Recognition of some simple groups by character degree graph and order. (English summary). Math. Rep. (Bucur.) 18(68) (2016), no. 1, 51--61.
  • Kondratev, Anatolii S. Finite groups having the same prime graph as the group $rm{Aut}(J_2)$. (English summary). Proc. Steklov Inst. Math. 283 (2013), suppl. 1, S78--S85.
  • Kondratev, Anatolii S. (with Khramtsov, I. V.). The complete reducibility of some $GF(2)A_7$-modules. (English summary). Proc. Steklov Inst. Math. 283 (2013), suppl. 1, S86--S90.
  • Kong, Qingjun. A note on elements of prime power index in finite groups. (English summary). Monatsh. Math. 179 (2016), no. 4, 577--580.
  • Liao, Jun (with Zhang, Ji Ping 1). Saturated fusion systems over $Cal{A}_2$-groups. (English summary). Math. Z. 282 (2016), no. 3-4, 1137--1147.
  • Liu, A Ming (with Li, Baojun 1). Some new criteria for $p$-supersolubility of finite groups. (Chinese. English and Chinese summaries). J. Univ. Sci. Technol. China 45 (2015), no. 9, 733--736.
  • Lucchini, Andrea 2 (with Garonzi, Martino). Irredundant and minimal covers of finite groups. (English summary). Comm. Algebra 44 (2016), no. 4, 1722--1727.
  • Mamontov, Andrey (with Jabara, Enrico). Recognition of the group $L_3(4)$ by the set of element orders in the class of all groups. (Russian. English and Russian summaries). Algebra Logika 54 (2015), no. 4, 439--443, 543, 546.
  • Mao, Yue Mei (with Ma, Xiaojian). On ${germ F}_tau$-s-supplemented subgroups of finite groups. (English summary). J. Math. Study 49 (2016), no. 1, 50--56.
  • Rowley, Peter J. (with Wright, Ben). Structure of the $Fi_{24}'$ maximal 2-local geometry point-line collinearity graph. (English summary). LMS J. Comput. Math. 19 (2016), no. 1, 105--154.
  • Schmid, Peter P. On a class of finite capable $p$-groups. (English summary). Arch. Math. (Basel) 106 (2016), no. 4, 301--304.
  • Shi, Jiangtao (with Zhang, Cui 3). The influence of the number of non-(sub)normal non-abelian subgroups on solvability of finite groups. (English summary). Algebra Colloq. 23 (2016), no. 2, 325--328.
  • Wang, Jun Xin. Finite groups with a cyclic norm quotient. (English summary). Bull. Korean Math. Soc. 53 (2016), no. 2, 479--486.
  • Wilson, Robert A. Is the Suzuki group ${rm Sz}(8)$ a subgroup of the Monster? (English summary). Bull. Lond. Math. Soc. 48 (2016), no. 2, 355--364.
  • Yadchenko, A. A. On automorphisms of irreducible linear groups with an abelian Sylow 2-subgroup. (Russian. Russian summary). Mat. Zametki 99 (2016), no. 1, 121--139.
  • Yi, Xiaolan (with Skiba, Alexander N.). Some notes on meet-irreducible subgroups of finite groups. (English summary). Comm. Algebra 44 (2016), no. 4, 1548--1556.
  • Zhao, Tao 1 (with Lu, Gangfu; Lv, Chengjun). On weakly $SS$-quasinormal subgroups of finite groups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 61--74.
  • Zhao, Xianhe (with Chen, RuiFang). On $R$-conjugate-permutability of Sylow subgroups. (English summary). Czechoslovak Math. J. 66(141) (2016), no. 1, 111--117.
  • Zinoveva, M. R. (with Mazurov, Viktor Danilovich). On finite groups with disconnected prime graph. (English summary). Proc. Steklov Inst. Math. 283 (2013), suppl. 1, S139--S145.

20E STRUCTURE AND CLASSIFICATION OF INFINITE OR FINITE GROUPS

  • Arora, Harsha (with Karan, Ram). A note on autocamina groups. (English summary). Note Mat. 35 (2015), no. 2 39--50.
  • Bou-Rabee, Khalid (with Leemann, Paul-Henry; Smirnova-Nagnibeda, Tatiana). Weakly maximal subgroups in regular branch groups. (English summary). J. Algebra 455 (2016), 347--357.
  • Corob Cook, Ged. On profinite groups of type ${rm FP}_infty$. (English summary). Adv. Math. 294 (2016), 216--255.
  • Coulbois, Thierry (with Hilion, Arnaud). Ergodic currents dual to a real tree. (English summary). Ergodic Theory Dynam. Systems 36 (2016), no. 3, 745--766.
  • Detomi, Eloisa (with Morigi, Marta; Shumyatsky, Pavel). On conciseness of words in profinite groups. (English summary). J. Pure Appl. Algebra 220 (2016), no. 8, 3010--3015.
  • Hamilton, Emily 1. Double coset separability of abelian subgroups of hyperbolic $n$-orbifold groups. (English summary). Proc. Amer. Math. Soc. 144 (2016), no. 6, 2327--2336.
  • Kong, Qingjun. On conjugacy class sizes of $pi$-elements of primary orders in finite groups. (English summary). Bol. Soc. Mat. Mex. (3) 22 (2016), no. 1, 137--140.
  • Mahmood Robati, Sajjad. Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups. (English summary). Bull. Iranian Math. Soc. 42 (2016), no. 1, 19--25.
  • Moghaddam, Mohammad Reza R. (with Motaghi, Esmat; Rostamyari, Mohammad Amin). The probability that a pair of group elements is autoconjugate. (English summary). Proc. Indian Acad. Sci. Math. Sci. 126 (2016), no. 1, 61--68.
  • Pride, Stephen J. (with Vernitskii, A. S.; Wong, Kok Bin; Wong, Peng Choon). Conjugacy and other properties of one-relator groups. (English summary). Comm. Algebra 44 (2016), no. 4, 1588--1598.

20F SPECIAL ASPECTS OF INFINITE OR FINITE GROUPS

  • Arnt, S. Fibred coarse embeddability of box spaces and proper isometric affine actions on $L^p$ spaces. (English summary). Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 1, 21--32.
  • Barker, Nathan (with Duncan, Andrew J.; Robertson, David M.). The power conjugacy problem in Higman-Thompson groups. (English summary). Internat. J. Algebra Comput. 26 (2016), no. 2, 309--374.
  • Bellingeri, Paolo (with Gervais, Sylvain). On $p$-almost direct products and residual properties of pure braid groups of nonorientable surfaces. (English summary). Algebr. Geom. Topol. 16 (2016), no. 1, 547--568.
  • Benyash-Krivets, V. V. (with Govorushko, I. O.). Representation varieties of subgroups of finite index of Baumslag-Solitar groups. (Russian. English and Russian summaries). Tr. Inst. Mat. 23 (2015), no. 2, 24--28.
  • Budkin, A. I. On dominions of solvable groups. (Russian. English and Russian summaries). Algebra Logika 54 (2015), no. 5, 575--588, 647--648, 649.
  • Casals-Ruiz, Montserrat. Embeddability and quasi-isometric classification of partially commutative groups. (English summary). Algebr. Geom. Topol. 16 (2016), no. 1, 597--620.
  • De Falco, Maria (with Martusciello, Maria; Musella, Carmela). Groups with supersoluble non-normal subgroups. (English summary). Algebra Colloq. 23 (2016), no. 2, 213--218.
  • Engel, Ann-Kristin (with Fine, Benjamin L.; Rosenberger, Gerhard). Test elements, generic elements and almost primitivity in free products. (English summary). Algebra Colloq. 23 (2016), no. 2, 263--280.
  • Ghosh, Pritam. Applications of weak attraction theory in ${rm Out}(Bbb{F}_N)$. (English summary). Geom. Dedicata 181 (2016), 1--22.
  • de Giovanni, Francesco (with Russo, Alessio). Groups with finitely many homomorphic images of finite rank. (English summary). Algebra Colloq. 23 (2016), no. 2, 181--187.
  • Hull, Michael (with Osin, Denis V.). Corrigendum to ``Conjugacy growth of finitely generated groups'' [Adv. Math. 235 (2013) 361--389] [refmr 3010062endrefmr]. Adv. Math. 294 (2016), 857--859.
  • Ito, Tetsuya. Construction of isolated left orderings via partially central cyclic amalgamation. (English summary). Tohoku Math. J. (2) 68 (2016), no. 1, 49--71.
  • Kent, Richard Peabody, IV. Congruence kernels around affine curves. (English summary). J. Reine Angew. Math. 713 (2016), 1--20.
  • Krempa, Jan (with Stocka, Agnieszka). Addendum to `On sets of PP-generators of finite groups' [refmr MR3314142endrefmr]. (English summary). Bull. Aust. Math. Soc. 93 (2016), no. 2, 350--352.
  • Lytkina, Daria V. (with Mazurov, Viktor Danilovich). Periodic groups saturated with finite simple groups. (Russian. English and Russian summaries). Tr. Inst. Mat. 23 (2015), no. 2, 72--75.
  • Mackay, John M. Conformal dimension via subcomplexes for small cancellation and random groups. (English summary). Math. Ann. 364 (2016), no. 3-4, 937--982.
  • Monakhov, Victor S. (with Chirik, I. K.). On the $p$-supersolvable coradical of the product of normal $p$-supersolvable subgroups. (Russian. English and Russian summaries). Tr. Inst. Mat. 23 (2015), no. 2, 88--96.
  • O'Farrell, Anthony G. (with Short, Ian) (Book). Reversibility in dynamics and group theory. London Mathematical Society Lecture Note Series, 416. Cambridge University Press, Cambridge, 2015. xii+281pp. 978-1-107-44288-7.
  • Pfaff, Catherine. Ideal Whitehead graphs in ${rm Out}(F_r)$ III: Achieved graphs in rank 3. (English summary). J. Topol. Anal. 8 (2016), no. 2, 207--242.
  • Sapir, Mark V. Minsky machines and algorithmic problems. (English summary). Fields of logic and computation. II, 273--292, Lecture Notes in Comput. Sci., 9300, Springer, Cham, 2015.
  • Sirag, Saul-Paul (Book). ADEX theory. How the ADE Coxeter graphs unify mathematics and physics. Series on Knots and Everything, 57. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2016. x+259pp. 978-981-4656-49-8.
  • Sosnovskiy, Yury Vasil'evich. On the width of verbal subgroups of the groups of triangular matrices over a field of arbitrary characteristic. (English summary). Internat. J. Algebra Comput. 26 (2016), no. 2, 217--222.
  • Tessera, Romain. The large-scale geometry of locally compact solvable groups. (English summary). Internat. J. Algebra Comput. 26 (2016), no. 2, 249--281.
  • Timoshenko, Evgenii Iosifovich. Endomorphisms of free solvable groups that preserve the primitivity of systems of elements. (Russian. English and Russian summaries). Algebra Logika 54 (2015), no. 4, 503--519, 544, 547.
  • Wehrfritz, Bertram A. F. The central heights of stability groups of series in vector spaces. (English summary). Czechoslovak Math. J. 66(141) (2016), no. 1, 213--222.
  • Wiscons, Joshua. Groups of Morley rank 4. (English summary). J. Symb. Log. 81 (2016), no. 1, 65--79.
  • Young, Robert Ji Wai. High-dimensional fillings in Heisenberg groups. (English summary). J. Geom. Anal. 26 (2016), no. 2, 1596--1616.

20G LINEAR ALGEBRAIC GROUPS AND RELATED TOPICS

  • Aizenbud, Avraham (with Avni, Nir). Representation growth and rational singularities of the moduli space of local systems. (English summary). Invent. Math. 204 (2016), no. 1, 245--316.
  • Basheer, Ayoub Basheer Mohammed (with Seretlo, Thekiso T.). On a group of the form $2^{14}:Sp(6,2)$. (English summary). Quaest. Math. 39 (2016), no. 1, 45--57.
  • Bhargava, Manjul (with Ho, Wei). Coregular spaces and genus one curves. (English summary). Camb. J. Math. 4 (2016), no. 1, 1--119.
  • Goodbourn, Oliver. Reductive pairs arising from representations. (English summary). J. Algebra 455 (2016), 93--107.
  • Hu, Jun 3 (with Mathas, Andrew). Seminormal forms and cyclotomic quiver Hecke algebras of type $A$. (English summary). Math. Ann. 364 (2016), no. 3-4, 1189--1254.
  • Jensen, Bernt Tore (with Su, Xiuping; Yang, Guiyu). Projective modules of 0-Schur algebras. (English summary). J. Algebra 454 (2016), 181--205.
  • Liu, Mingqiang (with Pu, Yan Min). Monomial bases for little $q$-Schur algebras at even roots of unity. (English summary). Comm. Algebra 44 (2016), no. 4, 1460--1472.
  • Liu, Shitian (with Zhang, Zhanghua). Recognizing Chevalley groups $G_2(q)$ by ${rm nse}$. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 187--198.
  • McNinch, George J. (with Testerman, Donna M.). Central subalgebras of the centralizer of a nilpotent element. (English summary). Proc. Amer. Math. Soc. 144 (2016), no. 6, 2383--2397.
  • Nuzhin, Ya. N. Lie rings defined by the root system and family of additive subgroups of the initial ring. (English summary). Proc. Steklov Inst. Math. 283 (2013), suppl. 1, S119--S125.
  • Sajjadi, Masoumeh (with Bibak, Masoumeh; Rezaeezadeh, Gholamreza). Characterization of some projective special linear groups in dimension four by their orders and degree patterns. (English summary). Bull. Iranian Math. Soc. 42 (2016), no. 1, 27--36.
  • Semenov, Nikita. Motivic construction of cohomological invariants. (English summary). Comment. Math. Helv. 91 (2016), no. 1, 163--202.
  • Shtern, Alexander I. A disproval of a conjecture concerning the Rademacher pseudocharacter on ${rm SL}(2,Bbb Z)$. (English summary). Proc. Jangjeon Math. Soc. 19 (2016), no. 1, 11--16.
  • Suprunenko, Irina D. Big composition factors in restrictions of representations of the special linear group to subsystem subgroups with two simple components. (English summary). Tr. Inst. Mat. 23 (2015), no. 2, 123--136.

20H OTHER GROUPS OF MATRICES

  • Ikikardes, Sebahattin (with Sarigedik Demircioglu, Zehra; Sahin, Recep). Generalized Pell sequences in some principal congruence subgroups of the Hecke groups. (English summary). Math. Rep. (Bucur.) 18(68) (2016), no. 1, 129--136.

20K ABELIAN GROUPS

  • Danchev, Peter Vassilev. On $kappa$-bijective homomorphisms of totally projective Abelian $p$-groups. (English summary). J. Indian Math. Soc. (N.S.) 82 (2015), no. 3-4, 13--22.
  • Han, Gang 1 (with Zhou, Qipeng). Automorphism groups of finite abelian $p$-groups and transvections. (English summary). Comm. Algebra 44 (2016), no. 4, 1411--1419.
  • Parvaneh, Foroud. Some properties of autonilpotent groups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 1--8.
  • Sanders, Tom. Approximate (Abelian) groups. (English summary). European Congress of Mathematics, 675--689, Eur. Math. Soc., Zurich, 2013.

20L GROUPOIDS (I.E. SMALL CATEGORIES IN WHICH ALL MORPHISMS ARE ISOMORPHISMS)

  • Alyamani, Nouf (with Gilbert, Nick D.; Miller, E. C.). Fibrations of ordered groupoids and the factorization of ordered functors. (English summary). Appl. Categ. Structures 24 (2016), no. 2, 121--146.

20M SEMIGROUPS

  • Barucci, Valentina (with Koja, Faten). On the class semigroup of a numerical semigroup. (English summary). Semigroup Forum 92 (2016), no. 2, 377--392.
  • Bremner, Murray R. (with Madariaga Merino, Sara). Permutation of elements in double semigroups. (English summary). Semigroup Forum 92 (2016), no. 2, 335--360.
  • Ciolan, Alexandru (with Garcia-Sanchez, Pedro A.; Moree, Pieter). Cyclotomic numerical semigroups. (English summary). SIAM J. Discrete Math. 30 (2016), no. 2, 650--668.
  • Costa, Jose Carlos (with Nogueira, Conceicao; Teixeira, Maria Lurdes). Pointlike reducibility of pseudovarieties of the form ${bf V}ast {bf D}$. (English summary). Internat. J. Algebra Comput. 26 (2016), no. 2, 203--216.
  • Failla, Gioia (with Peterson, Christopher S. (1-COS); Utano, Rosanna (I-MESS-CS)). Algorithms and basic asymptotics for generalized numerical semigroups in $Bbb{N}^d$. (English summary). Semigroup Forum 92 (2016), no. 2, 460--473.
  • Fernandes, Vitor H. (with Quinteiro, Teresa M.). A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations. (English summary). Bull. Korean Math. Soc. 53 (2016), no. 2, 495--506.
  • Forsberg, Love. Effective representations of path semigroups. (English summary). Semigroup Forum 92 (2016), no. 2, 449--459.
  • Gan, Ai Ping (with Zhao, Xianzhong; Ren, Miao Miao). Global determinism of semigroups having regular globals. (English summary). Period. Math. Hungar. 72 (2016), no. 1, 12--22.
  • Geroldinger, Alfred (with Grynkiewicz, David J.; Yuan, Pingzhi). On products of $k$ atoms II. (English summary). Mosc. J. Comb. Number Theory 5 (2015), no. 3, 3--59.
  • Klimann, Ines. Automaton semigroups: the two-state case. (English summary). Theory Comput. Syst. 58 (2016), no. 4, 664--680.
  • Lee, Edmond W. H. A class of finite semigroups without irredundant bases of identities. (English summary). Yokohama Math. J. 61 (2015), 1--28.
  • Lee, Edmond W. H. Finitely based finite involution semigroups with non-finitely based reducts. (English summary). Quaest. Math. 39 (2016), no. 2, 217--243.
  • Nakamoto, Kazunori (with Torii, Takeshi). Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids. (English summary). Kodai Math. J. 39 (2016), no. 1, 80--109.
  • Schwab, Emil Daniel. A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on $Bbb{N}^*$. (English summary). Semigroup Forum 92 (2016), no. 2, 393--413.
  • Tavakoli, Ali 2 (with Rejali, Ali 2). Amenability of groups and semigroups characterized by configuration. (English summary). Bull. Iranian Math. Soc. 42 (2016), no. 1, 101--112.
  • Wang, Haoli (with Zhang, Li Zhen 2; Wang, Qinghong 1; Qu, Yongke). Note on the Davenport constant of the multiplicative semigroup of the quotient ring $frac{Bbb F_p[x]}{langle f(x)rangle}$. (English summary). Int. J. Number Theory 12 (2016), no. 3, 663--669.
  • Wang, Yan-Hui. Beyond regular semigroups. (English summary). Semigroup Forum 92 (2016), no. 2, 414--448.
  • Xiao, Zhankui. On tensor spaces for rook monoid algebras. (English summary). Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 5, 607--620.

20N OTHER GENERALIZATIONS OF GROUPS

  • Aghabozorgi, Hossien (with Cristea, Irina; Jafarpour, Morteza). On complementable semihypergroups. (English summary). Comm. Algebra 44 (2016), no. 4, 1740--1753.
  • Catino, Francesco (with Colazzo, Ilaria; Stefanelli, Paola). Regular subgroups of the affine group and asymmetric product of radical braces. (English summary). J. Algebra 455 (2016), 164--182.
  • Changphas, Thawhat (with Davvaz, Bijan). Bi-hyperideals and quasi-hyperideals in ordered semihypergroups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 493--508.
  • Fechner, Zywilla (with Szekelyhidi, Laszlo). Sine functions on hypergroups. (English summary). Arch. Math. (Basel) 106 (2016), no. 4, 371--382.
  • Feng, Feng 1 (with Khan, Madad; Leoreanu-Fotea, Violeta; Anis, Saima; Ajaib, Nadeem). Fuzzy soft set approach to ideal theory of regular AG-groupoids. (English summary). An. Stiint. Univ. ``Ovidius'' Constanta Ser. Mat. 24 (2016), no. 1, 263--288.
  • Leppala, Emma (with Niemenmaa, Markku). On finite nonabelian loop capable groups. (English summary). Comm. Algebra 44 (2016), no. 4, 1569--1573.
  • Malyshev, F. M. Post-Gluskin-Hosszu theorem for finite $n$-quasigroups and self-invariant families of substitutions. (Russian. Russian summary). Mat. Sb. 207 (2016), no. 2, 81--92.
  • Onasanya, B. O. (with Ilori, Samuel A.). The action of a group on a fuzzy set via fuzzy membership function. (English summary). 4eme atelier annuel sur la CRyptographie, Algebre et Geometrie (CRAG-4)/4th Annual Workshop on CRyptography, Algebra and Geometry (CRAG-4), 65--70, Imhotep Math. Proc., 2.1, IMHOTEP---Afr. J. Pure Appl. Math., Ngaoundere, 2015.
  • Pan, Wenjun (with Wang, Qiumei; Zhan, Jianming). Fuzzy isomorphism theorems of soft groups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 605--616.
  • Rabie, Nureddine (with Syaj, Manal). Varieties generated by two element groupoids and the terms mode and differential. (English summary). Palest. J. Math. 5 (2016), Special Issue, 162--166.
  • Rasulov, Kh. S. $C$-equivalences of finite quasigroups of isotopic groups. (Russian. English and Uzbek summaries). Uzbek. Mat. Zh. 2011, no. 3, 150--153.
  • Rasulov, Kh. S. On the question of the classification of quasigroups that are close to one-sided invertible. (Russian. English and Uzbek summaries). Uzbek. Mat. Zh. 2012, no. 1, 115--118.
  • Stuhl, Izabella. Moufang's theorem for non-Moufang loops. (English summary). Aequationes Math. 90 (2016), no. 2, 329--333.
  • Suksumran, Teerapong. Gyrogroup actions: a generalization of group actions. (English summary). J. Algebra 454 (2016), 70--91.
  • Tabaranza, Georgie F. (with Paradero-Vilela, Jocelyn S.). On strong and weak hyper KS-ideals of decomposable hyper KS-semigroups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 233--242.
  • Uma Maheswari, A. (with Meera, C.). Prime ideals in right ternary near-rings and right ternary $N$-groups. (English summary). Ital. J. Pure Appl. Math. No. 35 (2015), 109--128.
  • Watanabe, Taisuke. On connected quandles with the profile ${1,ell,ell }$ or ${1,ell,ell,ell }$. (English summary). Yokohama Math. J. 61 (2015), 29--39.

20P PROBABILISTIC METHODS IN GROUP THEORY

  • Barzgar P., R. (with Erfanian Attar, A.; Farrokhi Derakhshandeh Ghouchan, M. (IR-MASH)). Probability of mutually commuting two finite subsets of a finite group. (English summary). Ars Combin. 124 (2016), 165--176.
  • Niroomand, Peyman. Some results on the exterior degree of extra-special groups. (English summary). Ars Combin. 125 (2016), 121--128.
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