SEMINAR: Groups and Combinatorics Seminar: Cheryl Praeger, 4pm Aug 24 in Weatherburn LT

Speaker: Cheryl E Praeger (University of Western Australia)

Title: Structures invariant under maximal subgroups of symmetric groups: a more geometrical O’Nan-Scott Theorem

Time and place: 4pm Friday 24 Jul 2018, Weatherburn LT

Abstract: Maximal intransitive and imprimitive finite permutation groups are stabilisers of subsets, and partitions (sets of subsets) respectively. Similarly maximal finite primitive permutation groups of product type are stabilisers of Cartesian decompositions (sets of partitions). We study whether groups in certain families of infinite primitive groups can be described in a similar way as stabilisers of similar structures. More speculatively we ask whether primitive groups of simple diagonal type arise as stabilisers of some combinatorial structure.

This is joint work with Csaba Schneider.

Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/GroupsAndCombinatoricsSeminar/S18.html