Fixed points and derangements

Peter J. Cameron
Queen Mary and Westfield

The talk will contain a tapas of recent results about fixed points and derangements in permutation groups. For example:

- a structure theorem for permutation groups in which every non-identity element fixes exactly k points;

- recent work of Michael Giudici on groups containing no fixed-point-free element of prime order;

- generalisation of derangement numbers to groups other than symmetric groups.