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

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Today's date is Thursday, February 25, 2021
Groups and Combinatorics Seminar:Symmetric graphs of diameter two Other events...
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 G-symmetric if it admits G as an arc-transitive 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 G-normal 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 G-normal 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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