Regular orbits of Sym(n) and Alt(n) on irreducible representations

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• Joanna Fawcett, University of Western Australia
• Wednesday 26 February 2014, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

Given a finite group G and a faithful irreducible FG-module V where F is a field of prime order, we can ask whether G has a regular orbit on the vectors of V. This problem is related to determining which primitive permutation groups of affine type have a base of size 2, as well as the famous k(GV)-problem and a conjecture of Brauer concerning defect groups of blocks. We will consider the regular orbit problem for the symmetric and alternating groups.

This talk is part of the Algebra and Representation Theory Seminar series.

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