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SEMINAR: Groups and Combinatorics Seminar: On the stabilisers of locally 2-transitive graphs

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Today's date is Thursday, March 28, 2024
Groups and Combinatorics Seminar: On the stabilisers of locally 2-transitive graphs Other events...
Time and place: 15:00 Friday 8 May in Weatherburn LT.

Speaker: Shujiao Song (University of Western Australia)

Title: On the stabilisers of locally 2-transitive graphs.

Abstract: For a connected locally (G,2)-transitive graph and an edge {v,w}, both the induced actions of G_v on the neighbor set of v and G_w on the neighbor set of w are 2-transitive permutation groups. However, not every pair of 2-transitive permutation groups can be taken as such a pair. In this talk we give a description of such pairs of 2-transitive permutation groups. One interesting corollary tell us that a locally 3-arc-transitive amalgam with trivial vertex kernel is one of the following triples: (A_7,A_7,A_6),(S_7,S_7,S_6),(A_7,2^4:A_6,A_6),(S_7,2^4:S_6,S_6),(A_8,2^4:A_7,A_7),(A_9,2^4:A_8,A_8).
Contact Gabriel Verret <[email protected]>
Start Fri, 08 May 2015 15:00
End Fri, 08 May 2015 16:00
Submitted by Gabriel Verret <[email protected]>
Last Updated Tue, 05 May 2015 09:12
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