Let G be a finite soluble group, and let h (G) be the Fitting length of G. If φ is a fixed-point-
free automorphism of G, that is CG (φ)={1}, we denote by W (φ) the composition length of< …

Fixed point free action on groups of odd order Page 1 Journal of Algebra 320 (2008) 426–436
www.elsevier.com/locate/jalgebra Fixed point free action on groups of odd order Gülin …

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 …

Let G and A be finite groups with A acting on G by automorphisms. In this paper we
introduce the concept of “good action”; namely we say the action of A on G is good, if H=[H …

It is proved that if a finite p-soluble group G admits an automorphism φ of order pn having at
most m fixed points on every φ-invariant elementary abelian p′-section of G, then the p …

Let A be a finite group acting fixed-point freely on a finite (solvable) group G. A longstanding
conjecture is that if (| G|,| A|)= 1, then the Fitting length of G is bounded by the length of the …

Let R be a cyclic group of prime order which acts on the extraspecial group F in such a way
that F=[F, R]. Suppose RF acts on a group G so that CG (F)= 1 and (| R|,| G|)= 1. It is proved …

Power Automorphisms and Induced Automorphisms in Finite Groups* Dedicated to
Professor KP Shum of his 70th birthday 1. Introduc Page 1 Power Automorphisms and …

An important result of Turull (1984) is the following: Let $ GA $ be a finite solvable group, $
G\lhd GA $ and $(| G|,| A|)= 1$. Then $ f (G)\leq f (C_G (A))+ 2\ell (A) $, where $ f $ denotes …

We call the action of an automorphism α of a finite group G a Hughes type action if it is
described by conditions on the orders of elements of G⟨ α⟩− G. In the present paper we …