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) |
Other events...
|
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
http://www.maths.uwa.edu.au/~glasby/GroupsAndCombinatoricsSeminar/S18.html
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.
Contact |
Stephen Glasby
<[email protected]>
|
Start |
Fri, 23 Feb 2018 16:00
|
End |
Fri, 23 Feb 2018 17:00
|
Submitted by |
Stephen Glasby <[email protected]>
|
Last Updated |
Mon, 19 Feb 2018 10:41
|
Included in the following Calendars: |
|
- Locations of venues on the Crawley and Nedlands campuses are
available via the Campus Maps website.
- Download this event as:
Text |
iCalendar
-
Mail this event:
|