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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Influence of Conjugacy Class sizes on Sylow Subgroups

## Influence of Conjugacy Class sizes on Sylow SubgroupsAdd to your list(s) Download to your calendar using vCal - Julian Brough Cambridge University
- Friday 25 October 2013, 15:00-16:00
- CMS, MR5.
If you have a question about this talk, please contact Julian Brough. Given a group G and x in G, the size of the conjugacy class of x in G is given by the size of the group divided by the order. This number 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 relations. 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. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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