Diagonal structures and primitive permutation groups

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• Cheryl Praeger, University of Western Australia
• Thursday 20 February 2020, 16:00-17:00
• Lecture Theatre B, Watson Building.

If you have a question about this talk, please contact Simon Goodwin.

Many maximal subgroups of finite symmetric groups arise as stabilisers of some structure on the point set: for example the maximal intransitive permutation groups are subset stabilisers. The primitive groups of diagonal type for a long time have seemed exceptional in this respect. Csaba Schneider and I have introduced diagonal structures which, for the first time, give a combinatorial interpretation to these primitive groups of simple diagonal type. In further work together also with Peter Cameron and Rosemary Bailey, we’ve exhibited these groups as automorphism groups of `diagonal graphs’.

This talk is part of the Algebra seminar series.

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• Algebra seminar
• Lecture Theatre B, Watson Building
• School of Mathematics events

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