We study the effect under various rank restrictions of a group having an automorphism of prime power order whose fixed-point set is also finite of prime power order for the same prime. Generally our conclusions are that the group has a soluble normal subgroup of bounded derived length. Not surprisingly the bound gets larger as the rank restrictions get weaker
In this paper we study the structure of a finite group G admitting a solvable group A of automorphis...
Let G be a finite soluble group, and let be the Fitting length of G. If φ is a fixed-point-free auto...
AbstractA well-known result due to Thompson states that if a finite group G has a fixed-point-free a...
AbstractSuppose G is either a soluble (torsion-free)-by-finite group of finite rank or a soluble lin...
Several finite groups admitting automorphisms of prime order which are almost regular in the sense o...
It is proved that if a finite p-soluble group G admits an automorphism ' of order pn having at most...
AbstractIdeas from the theory of p-adic analytic groups are employed in the study of finite groups h...
Let $\varphi$ be an automorphism of prime order $p$ of a finite group $G$, and let $r$ be the (Pr\"u...
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α...
We consider a group G with an automorphism of finite, usu- ally prime, order. If G has finite Hirsch...
AbstractLet φ be an automorphism of prime order p of a finite group G, and let CG(φ) be its fixed-po...
AbstractWe prove that if an automorphism φ of a free group F of rank n has a fixed point subgroup of...
In this thesis, a study is made of finite groups which satisfy the following hypothesis:- (*) G is a...
In this paper we study the structure of a finite group G admitting a solvable group A of automorphis...
For a finite p-group P, the following three conditions are equivalent: (a) to have a (proper) partit...
In this paper we study the structure of a finite group G admitting a solvable group A of automorphis...
Let G be a finite soluble group, and let be the Fitting length of G. If φ is a fixed-point-free auto...
AbstractA well-known result due to Thompson states that if a finite group G has a fixed-point-free a...
AbstractSuppose G is either a soluble (torsion-free)-by-finite group of finite rank or a soluble lin...
Several finite groups admitting automorphisms of prime order which are almost regular in the sense o...
It is proved that if a finite p-soluble group G admits an automorphism ' of order pn having at most...
AbstractIdeas from the theory of p-adic analytic groups are employed in the study of finite groups h...
Let $\varphi$ be an automorphism of prime order $p$ of a finite group $G$, and let $r$ be the (Pr\"u...
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α...
We consider a group G with an automorphism of finite, usu- ally prime, order. If G has finite Hirsch...
AbstractLet φ be an automorphism of prime order p of a finite group G, and let CG(φ) be its fixed-po...
AbstractWe prove that if an automorphism φ of a free group F of rank n has a fixed point subgroup of...
In this thesis, a study is made of finite groups which satisfy the following hypothesis:- (*) G is a...
In this paper we study the structure of a finite group G admitting a solvable group A of automorphis...
For a finite p-group P, the following three conditions are equivalent: (a) to have a (proper) partit...
In this paper we study the structure of a finite group G admitting a solvable group A of automorphis...
Let G be a finite soluble group, and let be the Fitting length of G. If φ is a fixed-point-free auto...
AbstractA well-known result due to Thompson states that if a finite group G has a fixed-point-free a...
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