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.
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页码：3755 / 3760
页数：6
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