University of Birmingham > Talks@bham > Algebra Seminar > Fixed-point-free automorphisms of p-groups

Fixed-point-free automorphisms of p-groups

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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?

This talk is part of the Algebra Seminar series.

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