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, 15:0016:00
 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.
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