SEMINAR: Groups and Combinatorics Seminar 16:00 Fri 23/02/2018 Robert Street LT: Scott Harper (Univ. of Bristol)
|Groups and Combinatorics Seminar 16:00 Fri 23/02/2018 Robert Street LT: Scott Harper (Univ. of Bristol)
Speaker: Scott Harper (University of Bristol)
Title: Uniform Domination for Simple Groups
Time and place: 16:00 Friday 23/02/2018 in Robert Street LT
Abstract: It is well known that every finite simple group can be generated by just two elements. In fact, by a theorem of Guralnick and Kantor, there is a conjugacy class C such that for each non-identity element x there exists an element y in C such that x and y generate the entire group. Motivated by this, we introduce a new invariant for finite groups: the uniform domination number. This is the minimal size of a subset S of conjugate elements such that for each non-identity element x there exists an element s in S such that x and s generate the group. This invariant arises naturally in the study of generating graphs.
In this talk, I will present recent joint work with Tim Burness, which establishes best possible results on the uniform domination number for finite simple groups, using a mix of probabilistic and computational methods, together with recent results on the base sizes of primitive permutation groups.
Past and future seminars may be found at
There will be cake in the Mathematics and Statistics tea room at 15:40. The seminar starts at 16:00, and after 17:05 we go to the UniClub or Student Tavern for a drink.
Fri, 23 Feb 2018 16:00
Fri, 23 Feb 2018 17:00
Stephen Glasby <[email protected]>
Mon, 19 Feb 2018 10:41
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