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Claudio Marchi - Primitive characters of odd order groups and conjugacy classes

Dates:25 October 2019
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Pure postgraduate seminars"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

This week's pure postgrad seminar will be given by Claudio Marchi at 3pm in Frank Adams 1.

Abstract:

Character theory is a fundamental tool for studying the structure of finite groups and many interesting properties of groups can be derived just from the set of degrees of irreducible characters.

This set is somehow connected to the set of conjugacy class sizes, but this connection is far from being completely determined.

In this talk I will give a gentle introduction to character theory of finite groups, starting from scratch, and some motivations for studying characters. In the second part of the talk I will then present a result that represents the first progress on a conjecture by Isaacs, Keller, Meierfrankenfeld and Moreto on degrees of primitive characters.

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Frank Adams 1
Alan Turing Building
Manchester

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Clement Hege

clement.hege@manchester.ac.uk

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