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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Fusion systems over $p$-groups with an extraspecial subgroup of index $p$

## Fusion systems over $p$-groups with an extraspecial subgroup of index $p$Add to your list(s) Download to your calendar using vCal - Raul Moragues Moncho, University of Birmingham
- Friday 02 December 2016, 15:00-16:00
- CMS, MR15.
If you have a question about this talk, please contact Nicolas DuprÃ©. Fusion systems are constructions on $p$-groups which generalise the action of a group acting on its Sylow $p$-subgroups via conjugation. We motivate this generalisation and the notion of saturation, which preserves properties of fusion of a group on a Sylow $p$-subgroup. We then focus on $p$-groups that have an extraspecial subgroup of index $p$, discuss the finite simple groups whose Sylow $p$-subgroups have this property, and how the situation changes when we consider saturated fusion systems over the same $p$-groups, presenting results which aim towards a classification. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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