Mathematical Sciences Seminar - Simple groups, fixed point sets and involutions
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
In the context of finite permutation groups, there are many interesting problems concerning the fixed point sets of elements. For example, if G is a group acting on a set, one can study the maximal number of fixed points of a non-identity element t∈G. In this talk, I will focus on the case where G is an almost simple primitive permutation group of degree n and t∈G is an involution. In particular we will show that, apart from a short list of exceptions, there is usually an involution xing at least n4/9 points. This work aims at improving a recent result from Liebeck and Shalev.
Contact name:
Department of Economics, Mathematics and Statistics