SEMINAR: Groups and Combinatorics Seminar:Symmetric graphs of diameter two


Groups and Combinatorics Seminar:Symmetric graphs of diameter two 
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Groups and Combinatorics Seminar
Carmen Amarra (UWA)
will speak on
Symmetric graphs of diameter two
at 11am on Thursday 14th of June in Maths Lecture Room 2
**Note the change of day***
Abstract: Let G be a group. A graph Gamma is Gsymmetric if it
admits G as an arctransitive group of automorphisms, and it has diameter two
if it is not a complete graph and if any two
nonadjacent vertices have a common neighbour. Using normal quotient
analysis, we can reduce the study of symmetric diameter two graphs to
the following cases: (1) all nontrivial, connected Gnormal
quotients of Gamma are complete graphs, or (2) G acts
quasiprimitively on the vertex set of Gamma. Our broad aim is to
classify the symmetric diameter two graphs that satisfy (1) or (2). We
are not able to achieve this for all such graphs; in this talk we
describe our results for some subcases. In particular we focus on the
subcase of (1) where Gamma has at least 3 nontrivial complete
Gnormal quotients, and the subcase of (2) where G is affine. Our
analysis uses the classification of transitive linear groups, and
Aschbacher's classification of subgroups of the general linear group.
Speaker(s) 
Carmen Amarra

Location 
Maths Lecture Room 2


Contact 
Michael Giudici
<[email protected]>

Start 
Sat, 16 Jun 2012 11:00

End 
Sat, 16 Jun 2012 12:00

Submitted by 
Michael Giudici <[email protected]>

Last Updated 
Tue, 12 Jun 2012 15:28

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