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SUMMARY:Çisil Karagüzel (UC Santa Cruz)
DTSTART:20210423T190000Z
DTEND:20210423T200000Z
DTSTAMP:20260423T040812Z
UID:WMGAG/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WMGAG/8/">Fu
 sion Systems of Blocks of Finite Groups over Arbitrary Fields</a>\nby Çis
 il Karagüzel (UC Santa Cruz) as part of GAG seminar\n\n\nAbstract\nGiven 
 a field $k$ of characteristic $p > 0$\, a finite group $G$\, to any block 
 idempotent $b$ of the group algebra $kG$\, Puig associated a fusion system
  and proved that it is saturated if the $k$-algebra $kC_G(P)e$ is split\, 
 where $(P\,e)$ is a maximal $b$-Brauer pair. \nIn this talk\, we will inve
 stigate in the non-split case how far the fusion system is from being satu
 rated by describing it in an explicit way as being generated by the fusion
  system of a related block idempotent over a larger field together with a 
 single automorphism of the defect group.\n
LOCATION:https://researchseminars.org/talk/WMGAG/8/
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