Fixed points of coprime operator groups

被引：5

作者：

Acciarri, Cristina ^{[1
]}

Shumyatsky, Pavel ^{[1
]}

机构：

[1] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil

来源：

JOURNAL OF ALGEBRA | 2011年 / 342卷 / 01期

关键词：

Automorphisms; Centralizers; Derived groups; Associated Lie rings; Finite groups; LIE-ALGEBRAS; FINITE-GROUP; P-GROUPS; IDENTITIES; EXPONENT;

D O I：

10.1016/j.jalgebra.2011.06.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m be a positive integer and A an elementary abelian group of order q(r) with r >= 2 acting on a finite q'-group G. We show that if for some integer d such that 2(d) <= r - 1 the dth derived group of C(G)(a) has exponent dividing m for any a is an element of A(#), then G((d)) has {m, q, r}-bounded exponent and if gamma(r-1)(C(G)(a)) has exponent dividing m for any a is an element of A(#), then gamma(r-1)(G) has {m,q,r}-bounded exponent. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：161 / 174

页数：14

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