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SEMINAR: Groups and Combinatorics Seminar: Symmetric graphs of diameter 2 arising from the classical groups

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Today's date is Thursday, March 28, 2024
Groups and Combinatorics Seminar: Symmetric graphs of diameter 2 arising from the classical groups Other events...
Groups and Combinatorics Seminar

Carmen Amarra (UWA)

will speak on

Symmetric graphs of diameter 2 arising from the classical groups

at 12noon Tuesday 22nd June in MLR2

Abstract: Let V be a vector space of dimension d over a field of q elements, and let H be an irreducible subgroup of GL(V). Let S be an H-orbit consisting of nonzero vectors, satisfying -S = S, and let Gamma= Cay(V,S). Then Gamma is G-symmetric, where G = V times H. Our goal is to find the graphs Cay(V,S) which have diameter 2, that is, those for which V is contained in S+S. In particular, we shall consider the case where H is a classical group.



All welcome.
Speaker(s) Carmen Amarra
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Tue, 22 Jun 2010 12:00
End Tue, 22 Jun 2010 12:45
Submitted by Michael Giudici <[email protected]>
Last Updated Thu, 17 Jun 2010 13:34
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