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SUMMARY:Minimal Fusion Systems - Ellen Henke (Birmingham)
DTSTART:20100512T153000Z
DTEND:20100512T163000Z
UID:TALK24769@talks.cam.ac.uk
CONTACT:Jan Saxl
DESCRIPTION:Saturated fusion systems are categories satisfying important f
 eatures of\nfusion in finite groups.\nThey have been studied by algebraic 
 topologists\, modular representation\ntheorists and recently also by local
  group theorists.\nMany concepts and results from finite group theory have
  been translated\ninto the language of fusion systems. This makes it possi
 ble to attempt a\nclassification of certain classes of saturated fusion sy
 stems.\n\nWe will define minimal fusion systems in a way that every non-so
 lvable\nfusion system has a section which is minimal. Minimal fusion syste
 ms can\nbe seen as an analog of Thompson's N-groups whose classification s
 et a\npattern for the classification of finite simple groups. I will repor
 t on\nthe current progress of a project\, which aims to investigate minima
 l\nfusion systems for arbitrary primes and to classify minimal fusion syst
 ems\nover $2$-groups.\n
LOCATION:MR12
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