SEMINAR: Groups and Combinatorics Seminar: The spread of a finite group


Groups and Combinatorics Seminar: The spread of a finite group 
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Groups and Combinatorics Seminar
Simon Guest (UWA)
will speak on
The spread of a finite group
at 1pm on Friday 14th of October in MLR2
Abstract: Let G be a finite group. We say that G has spread at least k if for any k distinct nontrivial elements x_1, ... , x_k in G, there exists y in G such that x_i and y generate G for each i. If G does not have spread at least 1 then G is said to have spread 0. Using elementary methods we can prove that if G has a nontrivial normal subgroup N such that G/N is noncyclic then G must have spread 0. It has been conjectured by Guralnick and Kantor that the converse is true. They can prove that the converse holds in many cases. We will discuss some recent joint work with Tim Burness involving the remaining cases.
Speaker(s) 
Simon Guest

Location 
Maths Lecture Room 2


Contact 
Michael Giudici
<[email protected]>

Start 
Fri, 14 Oct 2011 13:00

End 
Fri, 14 Oct 2011 13:45

Submitted by 
Michael Giudici <[email protected]>

Last Updated 
Fri, 21 Oct 2011 09:03

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