Ebook: A Hall-Higman-Shult Type Theorem for Arbitrary Finite Groups

UK.: Birmingham. [Invent. Math. 164 (2006) 361-397, eBook, English](The School of Mathematics, The University of Birmingham, Birmingham B15 2TT, United
Kingdom, e-mail: [email protected])Abstract
We shall extend a fixed point theorem of Shult to arbitrary finite groups.
This will have applications to the study of group automorphisms.Contents
Introduction
Preliminaries
Some special actions
TI-subgroups
Strong embedding
The minimal counterexample
Notation and outline
The even case
The odd case
The final contradiction
References