On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products

被引：0
|
作者：
Skuratovskii, Ruslan V. [1 ]
机构：
[1] Igor Sikorsky Kiev Polytech Inst, Dept Comp Sci, UA-03056 Kiev, Ukraine
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 7卷 / 01期
关键词：
Commutator subgroup; Alternating group; Minimal generating set; Sylow; 2-subgroups; Sylow p-subgroups; Commutator width; Permutational wreath product;
D O I：
10.1007/s40879-020-00418-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find the size of a minimal generating set for the commutator subgroup of Sylow 2-subgroups of alternating group and investigate the structure of the commutator subgroup of Sylow 2-subgroups of the alternating group A(2k). This work continues previous investigations of the author (Skuratovskii in Cybern Syst Anal 45(1):25-37, 2009; ROMAI J 13(1):117-139, 2017), where minimal generating sets of Sylow 2-subgroups of alternating groups were found.
引用
收藏
页码：353 / 373
页数：21
相关论文
共 50 条
  • [31] Sylow 2-subgroups of rational solvable groups
    I. M. Isaacs
    Gabriel Navarro
    [J]. Mathematische Zeitschrift, 2012, 272 : 937 - 945
  • [32] Sylow 2-subgroups of finite simple groups
    Harada, K
    Lang, ML
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 33 - 38
  • [33] GROUPS WITH A CERTAIN TYPE OF SYLOW 2-SUBGROUPS
    HARADA, K
    [J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1967, 19 (03) : 303 - +
  • [34] CHARACTERISATION OF SUZUKI GROUPS BY THEIR SYLOW 2-SUBGROUPS
    COLLINS, MJ
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1971, 123 (01) : 32 - &
  • [35] On commutator subgroups of Artin groups
    Orevkov, S. Yu.
    [J]. DOKLADY MATHEMATICS, 2012, 85 (01) : 117 - 119
  • [36] On nilpotency of higher commutator subgroups of a finite soluble group
    Josean da Silva Alves
    Pavel Shumyatsky
    [J]. Archiv der Mathematik, 2021, 116 : 1 - 6
  • [37] On nilpotency of higher commutator subgroups of a finite soluble group
    Alves, Josean Da Silva
    Shumyatsky, Pavel
    [J]. ARCHIV DER MATHEMATIK, 2021, 116 (01) : 1 - 6
  • [38] Commutator subgroups of the power subgroups of generalized Hecke groups
    Koruoglu, Ozden
    Meral, Taner
    Sahin, Recep
    [J]. ALGEBRA AND DISCRETE MATHEMATICS, 2019, 27 (02): : 280 - 291
  • [39] Commutator subgroups of the power subgroups of some Hecke groups
    Sahin, Recep
    Koruoglu, Ozden
    [J]. RAMANUJAN JOURNAL, 2011, 24 (02): : 151 - 159
  • [40] Commutator subgroups of the power subgroups of some Hecke groups
    Recep Sahin
    Özden Koruoğlu
    [J]. The Ramanujan Journal, 2011, 24 : 151 - 159
12345