FINITE GROUPS AND THEIR COPRIME AUTOMORPHISMS

被引：7

作者：

de Melo, Emerson ^{[1
]}

Shumyatsky, Pavel ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 09期

关键词：

p-groups; automorphisms; fixed-point; FIXED-POINTS; LIE-ALGEBRAS;

D O I：

10.1090/proc/13550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p be a prime and A a finite group of exponent p acting by automorphisms on a finite p'-group G. Assume that A has order at least p(3) and C-G(a) is nilpotent of class at most c for any a is an element of A(#). It is shown that G is nilpotent with class bounded solely in terms of c and p.

引用

页码：3755 / 3760

页数：6

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