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SEMINAR: Groups and Combinatorics Seminar, Generalized quadrangles and AS-configurations of finite p-groups

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Groups and Combinatorics Seminar, Generalized quadrangles and AS-configurations of finite p-groups Other events...
Stephen Glasby (UWA)

will speak on

Generalized quadrangles and AS-configurations of finite p-groups

at 3pm Friday 12 September in Weatherburn Lecture Theatre.

Abstract:

This is joint work with John Bamberg and Eric Swartz at UWA. One method for constructing generalized quadrangles involves finding a certain family of subgroups of a group. Given a group G of order q^3 we seek a family of q+2 subgroups U_0, U_1,..., U_{q+1} of G, each of order q, such that U_0 is normal in G and U_iU_j ap U_k={1} for all distinct i,j,k in {0,1,...,q+1}. The family is called an AS-configuration for G. We determine all the AS-configurations for q odd as well as q=2,4,8. To determine q=8 we showed, using extensive theory and computation, that only one of the 10,494,213 groups of order 2^9 admits an AS-configuration!
Speaker(s) Stephen Glasby (UWA)
Location Weatherburn Lecture Theatre G.40, The University of Western Australia
Contact Irene Pivotto <[email protected]>
Start Fri, 12 Sep 2014 15:00
End Fri, 12 Sep 2014 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 13 Oct 2014 15:49
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