SEMINAR: Groups and Combinatorics Seminar: The spread of a finite group
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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 non-trivial normal subgroup N such that G/N is non-cyclic 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
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Location |
Maths Lecture Room 2
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Contact |
Michael Giudici
<[email protected]>
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Start |
Fri, 14 Oct 2011 13:00
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End |
Fri, 14 Oct 2011 13:45
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Submitted by |
Michael Giudici <[email protected]>
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Last Updated |
Fri, 21 Oct 2011 09:03
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