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SUMMARY:Fusion systems with Benson-Solomon components - Justin Lynd (Unive
 rsity of Louisiana at Lafayette)
DTSTART:20200305T160000Z
DTEND:20200305T170000Z
UID:TALK140185@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the 1960s and 70s\, involution centralizer problems gave ri
 se to several new sporadic simple groups.&nbsp\; With the benefit of about
  30 years of hindsight\, one such problem considered by Solomon also gave 
 rise to an infinite family of exotic 2-fusion systems\, namely the Benson-
 Solomon systems. The Benson-Solomon fusion systems are closely related to 
 7-dimensional orthogonal groups over fields of odd order\, and they curren
 tly comprise the known simple exotic systems at the prime 2. In this talk\
 , I&#39\;ll discuss the solution to the involution centralizer problem for
  the Benson-Solomon systems in the context of Aschbacher&#39\;s program fo
 r the classification of simple 2-fusion systems of odd type.&nbsp\; The Be
 nson-Solomon problem is intertwined with the solution to Walter&#39\;s The
 orem for fusion systems\, one of the four main steps of the program.&nbsp\
 ; This is joint work with E. Henke.<br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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