SEMINAR:
Groups and Combinatorics Seminar: Symmetric graphs of diameter 2 arising from the classical groups
Tue, 22 Jun 2010 12:00 - Maths Lecture Room 2
Carmen Amarra
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.
For more information:
Michael Giudici
giudici@maths.uwa.edu.au
Starts : Tue, 22 Jun 2010 12:00
Ends : Tue, 22 Jun 2010 12:45
Last Updated : Thu, 17 Jun 2010 13:34