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SUMMARY:Influence of Conjugacy Class sizes on Sylow Subgroups - Julian Bro
 ugh Cambridge University
DTSTART:20131025T140000Z
DTEND:20131025T150000Z
UID:TALK48643@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:Given a group G and x in G\, the size of the conjugacy class o
 f x in G is given by the size of the group divided by the order. This numb
 er will be refered to as the index of x. In the subject of representation 
 theory\, conjugacy class sizes form a key component in the construction of
  the character table of a group\, for example in the orthogonality relatio
 ns. The character table then enables us to determine group structures such
  as normal subgroups or see how conjugacy classes multiply together. Hence
  it is natural to ask what other properties can be determined by conjugacy
  class sizes.
LOCATION:CMS\, MR5
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