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SUMMARY:Invariable generation and totally deranged elements of simple grou
 ps - Scott Harper (University of Bristol)
DTSTART:20220729T100000Z
DTEND:20220729T103000Z
UID:TALK176591@talks.cam.ac.uk
DESCRIPTION:By a classical theorem of Jordan\, every faithful transitive a
 ction of a nontrivial finite group admits a derangement (an element with n
 o fixed points). More recently\, the existence of derangements with additi
 onal properties has attracted much attention\, especially for primitive ac
 tions of almost simple groups. Surprisingly\, there exist almost simple gr
 oups with elements that are derangements in every faithful primitive actio
 n\; we say that these elements are totally deranged. I'll talk about ongoi
 ng work to classify the totally deranged elements of almost simple groups\
 , and I'll mention how this solves a question of Garzoni about invariable 
 generating sets for simple groups.
LOCATION:Seminar Room 1\, Newton Institute
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