Frobenius groups of automorphisms with almost fixed point free kernel

被引：0

作者：

Ercan, Gulin ^{[1
]}

Guloglu, Ismail S. ^{[2
]}

机构：

[1] Middle East Tech Univ, Dept Math, Ankara, Turkey

[2] Dogus Univ, Dept Math, Istanbul, Turkey

来源：

JOURNAL OF ALGEBRA | 2019年 / 521卷

关键词：

Solvable group; Automorphism; Fitting length; Frobenius group;

D O I：

10.1016/j.jalgebra.2018.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let FH be a Frobenius group with kernel F and complement H, acting coprimely on the finite solvable group G by automorphisms. We prove that if C-G(H) is of Fitting length n then the index of the n-th Fitting subgroup F-n(G) in G is bounded in terms of vertical bar C-G(F)vertical bar and vertical bar F vertical bar. This generalizes a result of Khukhro and Makarenko [6] which handles the case n = 1. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：384 / 389

页数：6

共 11 条

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