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

页码：353 / 373

页数：21

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