On a Fitting length conjecture without the coprimeness condition

被引：6

作者：

Ercan, Gulin ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 167卷 / 02期

关键词：

Automorphisms of solvable groups; Noncoprime action; Fixedpoint free action; POINT FREE AUTOMORPHISMS; FINITE-GROUPS; SOLVABLE GROUPS;

D O I：

10.1007/s00605-011-0287-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite nilpotent group acting fixed point freely by automorphisms on the finite solvable group G. It is conjectured that the Fitting length of G is bounded by the number of primes dividing the order of A, counted with multiplicities. The main result of this paper shows that the conjecture is true in the case where A is cyclic of order p (n) q, for prime numbers p and q coprime to 6 and G has abelian Sylow 2-subgroups.

引用

页码：175 / 187

页数：13

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