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SUMMARY:A counterexample to the first Zassenhaus conjecture - Florian Eise
 le (City)
DTSTART:20181017T153000Z
DTEND:20181017T163000Z
UID:TALK111919@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:There are many interesting problems surrounding the unit group
  U(RG) of the\nring RG\,\nwhere R is a commutative ring and G is a finite 
 group. Of particular\ninterest are the finite subgroups of\nU(RG). In the
  seventies\, Zassenhaus conjectured that any u in U(ZG) is\nconjugate\,  
 in the group U(QG)\,\nto an element of the form +/-g\, where g is an elem
 ent of the group G. This\ncame to be known as the "(first) Zassenhaus con
 jecture". I will talk about\nthe recent construction of a counterexample 
 to this conjecture (this is\njoint work with L. Margolis)\, and recent wo
 rk on related questions in the\nmodular representation theory of finite gr
 oups.
LOCATION:MR12
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