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

  • UserRaul Moragues Moncho, University of Birmingham
  • ClockFriday 02 December 2016, 15:00-16:00
  • HouseCMS, 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/Logic/Number Theory seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity