Manchester Algebra Seminar - Shezad Mohammed
| Dates: | 25 October 2022 |
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| Times: | 13:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, Current University students |
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Speaker: Martin Van beek - Manchester
Title: Fusion Systems and Rank Two Amalgams
Abstract: 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 two group amalgams whose parabolic subgroups involve strongly $p$-embedded subgroups, generalizing work of Delgado and Stellmacher.
Place: Frank Adams (this term the seminar will not be streamed online)
Tea and biscuits 12:45 in the foyer
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Frank Adams
Alan Turing Building
Manchester
