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SEMINAR: Groups and Combinatorics Seminar, Simple group factorisations and applications

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Today's date is Tuesday, November 24, 2020
Groups and Combinatorics Seminar, Simple group factorisations and applications Other events...
There will be refreshments before the seminar, at 2:40pm in the common room.

Cheryl Praeger (UWA)

will speak on

Simple group factorisations and applications

at 3pm Friday 3 October in Weatherburn Lecture Theatre.

Abstract:

Factorisations of the finite simple groups yield important information about their subgroup structure. Moreover, a group factorisation of the form G=AB with A, B proper subgroups, has at least two useful interpretations when studying symmetric structures, such as graphs or designs. For example, if G is a given group of automorphisms acting transitively with stabiliser B, then the factorisation G=AB reveals that A is a proper transitive subgroup. If in addition A and B have trivial intersection then the points of the graph or design may be identified with elements of A. For the second interpretation, A may be a known transitive automorphism group of a graph or design, and then factorisations G=AB (or their absence) can help to determine the full automorphism group. The lecture will survey results about simple group factorisations and how they can be used. A complete classification of simple group factorisations is as yet beyond our reach.
Speaker(s) Cheryl Praeger (UWA)
Location Weatherburn Lecture Theatre G.40, The University of Western Australia
Contact Irene Pivotto <[email protected]>
Start Fri, 03 Oct 2014 15:00
End Fri, 03 Oct 2014 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 13 Oct 2014 15:45
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