A focal subgroup theorem for outer commutator words

被引：11

作者：

Acciarri, Cristina ^{[1
]}

Fernandez-Alcober, Gustavo A. ^{[2
]}

Shumyatsky, Pavel ^{[1
]}

机构：

[1] Univ Brasilia, Dept Math, BR-0910900 Brasilia, DF, Brazil

[2] Euskal Herriko Unibertsitatea, Matemat Saila, Bilbao 48080, Spain

来源：

JOURNAL OF GROUP THEORY | 2012年 / 15卷 / 03期

关键词：

FIXED-POINTS;

D O I：

10.1515/JGT.2011.113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group of order p(a)m, where p is a prime and m is not divisible by p, and let P be a Sylow p-subgroup of G. If w is an outer commutator word, we prove that P boolean AND w(G) is generated by the intersection of P with the set of mth powers of all values of w in G.

引用

页码：397 / 405

页数：9

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