Mathematical Sciences Seminar - Simple groups, fixed point sets and involutions
When:
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Venue:
Birkbeck Main Building, Malet Street
No booking required
In the context of finite permutation groups, there are many interesting problems concerning the fi xed point sets of elements. For example, if G is a group acting on a set, one can study the maximal number of fi xed 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
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