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SUMMARY:Bob Oliver (Université PARIS 13)
DTSTART:20220404T103000Z
DTEND:20220404T113000Z
DTSTAMP:20260422T135734Z
UID:BilTop/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/42/">
 A Krull-Remak-Schmidt theorem for fusion systems</a>\nby Bob Oliver (Unive
 rsité PARIS 13) as part of Bilkent Topology Seminar\n\nLecture held in SB
 -Z11.\n\nAbstract\nThe Krull-Remak-Schmidt theorem\, when restricted to fi
 nite groups\, implies \nthat every finite group factorizes as a product of
  indecomposable subgroups \nwhich are unique up to isomorphism. But the th
 eorem actually says much \nmore. For example\, as a special case\, it impl
 ies that this factorization is \nunique (not only up to isomorphism) whene
 ver the group is perfect or \nhas trivial center. This is important\, for 
 example\, when describing the \nautomorphisms of the group in terms of the
  automorphisms of its \nindecomposable factors.\n\nA similar factorization
  theorem is true for fusion systems over finite \n$p$-groups (in fact\, fo
 r fusion systems over discrete $p$-toral groups). In \nthis talk\, I plan 
 to begin by discussing the original theorem for groups \nand sketching its
  proof\, and then\, after a brief introduction to fusion \nsystems\, descr
 ibe how these ideas can be carried over \nto prove the corresponding resul
 t in that setting.\n
LOCATION:https://researchseminars.org/talk/BilTop/42/
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