SEMINAR: Groups and Combinatorics Seminar, Locallytransitive graphs and their vertex stabilisers


Groups and Combinatorics Seminar, Locallytransitive graphs and their vertex stabilisers 
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Luke Morgan (UWA)
will speak on
Locallytransitive graphs and their vertex stabilisers
at 3pm Friday May the 9th in Weatherburn Lecture Theatre.
Abstract:
Let D be a graph with a group of automorphisms G and suppose that D is Glocallyarctransitive (for each vertex x of D the vertex stabiliser G(x) acts transitively on the neighbourhood of x). Fixing the valency of D one can ask if there is a bound on the order of G(x)? For valency three there are fundamental results due to Tutte and Goldschmidt. We'll instead fix the `local actions’, that is, the possible permutation groups induced on neighbourhoods in D (there can be at most two of these) and ask again: is there a bound on the order of G(x)? I will revisit some of the interesting results on this question. Then I will talk about some recent results like: when there can be a bound; when there is no bound; given a bound (and a little more) an instance when G(x) can be completely determined.
Spread throughout this is joint work with Giudici, GiudiciIvanovPraeger and SpigaVerret.
Speaker(s) 
Luke Morgan (UWA)

Location 
Weatherburn Lecture Theatre G.40


Contact 
Irene Pivotto
<[email protected]>

Start 
Fri, 09 May 2014 15:00

End 
Fri, 09 May 2014 16:00

Submitted by 
Irene Pivotto <[email protected]>

Last Updated 
Fri, 09 May 2014 11:41

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