London Algebra Colloquium abstract
Fixed-point-free automorphisms of p-groups
Sarah Astill (Bristol), 24th November 2011
Abstract
Finite groups with a fixed-point-free automorphism of prime order,
$r$ say, are nilpotent and what's more there exist bounds on
the nilpotency class dependent on the prime $r$. If we instead
considered a $p$-group with a small simple group of automorphisms
which contain an element of order $r$ acting fixed-point-freely
then can we give stronger bounds on the nilpotency class?