Fusion systems over $p$-groups with an extraspecial subgroup of index $p$

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• 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 Dupré.

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 and Number Theory seminar series.

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