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SEMINAR: Groups and Combinatorics Seminar: Point regular automorphism groups of generalised quadrangles

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Groups and Combinatoric Seminar

Michael Giudici (UWA)

will speak on

Point regular automorphism groups of generalised quadrangles

at 12 noon on Tuesday 25 May in MLR2

Abstract: (joint work with John Bamberg) Studying regular automorphism groups of combinatorial objects has had a long history. Recently there has been some focus on groups of automorphisms of generalised quadrangles that act regularly on the set of points. In this talk I will give a classification of all point regular automorphism groups of the thick classical generalised quadrangles. I will also construct point regular automorphism groups of some nonclassical generalised quadrangles. The constructions show that the class of groups which can act regularly on the set of points of a generalised quadrangle contains nonabelian 2-groups, groups of exponent 9 and nonspecial p-groups, and is thus wilder than previously thought.

All welcome.
Speaker(s) Michael Giudici
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Tue, 25 May 2010 12:00
End Tue, 25 May 2010 12:45
Submitted by Michael Giudici <[email protected]>
Last Updated Wed, 26 May 2010 12:20
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