University of Cambridge > > Isaac Newton Institute Seminar Series > Rank 2 Amalgams and Fusion Systems

Rank 2 Amalgams and Fusion Systems

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

GR2W02 - Simple groups, representations and applications

Saturated fusion systems capture abstract conjugacy in $p$-subgroups of finite groups and have found application in finite group theory, representation theory and algebraic topology. One of the ways to approach saturated fusion systems and their classification is by understanding their essential subgroups. In this talk, we classify fusion systems $\mathcal{F}$ in which there are two $\mathrm{Aut}_{\mathcal{F}}(S)$-invariant essential subgroups whose normalizer systems generate $\mathcal{F}$. We employ the amalgam method and, as a bonus, obtain $p$-local characterizations of certain rank $2$ group amalgams whose parabolic subgroups involve strongly $p$-embedded subgroups, generalizing work of Delgado and Stellmacher.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity