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
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