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SUMMARY:Rank 2 Amalgams and Fusion Systems - Martin van Beek (University o
 f Birmingham)
DTSTART:20220727T100000Z
DTEND:20220727T103000Z
UID:TALK176561@talks.cam.ac.uk
DESCRIPTION:\n\n\n\nSaturated 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 understa
 nding their essential subgroups. In this talk\, we classify fusion systems
  $\\mathcal{F}$ in which there are two $\\mathrm{Aut}_{\\mathcal{F}}(S)$-i
 nvariant essential subgroups whose normalizer systems generate $\\mathcal{
 F}$. We employ the amalgam method and\, as a bonus\, obtain $p$-local char
 acterizations of certain rank $2$ group amalgams whose parabolic subgroups
  involve strongly $p$-embedded subgroups\, generalizing work of Delgado an
 d Stellmacher.\n\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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