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SUMMARY:The McKay conjecture and Brauer's induction theorem - Anton Evseev
DTSTART:20091030T140000Z
DTEND:20091030T150000Z
UID:TALK21223@talks.cam.ac.uk
CONTACT:Anton Evseev
DESCRIPTION:Let G be a finite group and N be the normalizer of a Sylow p-s
 ubgroup of G. The McKay conjecture\, which has been open for more than 30 
 years\, states that G and N have the same number of irreducible characters
  of degree not divisible by p (i.e. of p'-degree). The conjecture has been
  strengthened in a number of ways. In particular\, a refinement due to Isa
 acs and Navarro  suggests a precise correspondence between irreducible cha
 racter degrees of G and of N modulo p and up to sign\, if one considers on
 ly characters of p'-degree. I will review these statements and will presen
 t a possible new refinement\, which implies the Isaacs-Navarro conjecture.
  The talk will be (reasonably) self-contained\, and the conjectures will b
 e illustrated by a number of "small" examples.
LOCATION:MR13
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