On the character degree sets of Sn, An and related groups

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• Christine Bessenrodt, Leibniz Universität Hannover
• Tuesday 15 July 2014, 15:30-16:30
• Watson Building, Lecture Room A.

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

Conference: Representations of Symmetric Groups, Hecke Algebras and KLR Algebras

It is a long standing question due to Brauer to find out what the complex group algebra CG tells about the finite group G, i.e., what can be deduced on the structure of G from the multiset of degrees of its irreducible characters. Concluding the work by Nguyen and Tong-Viet on quasisimple groups, in joint work with them and Olsson, the double covers of the symmetric and alternating groups were considered. For nonabelian simple groups G, Huppert conjectured that just the character degree set (without multiplicities) determines G up to an abelian factor. For alternating groups A_n, this was shown by Huppert up to n=11, and by Nguyen, Tong-Viet and Wakefield for n=12,13. I will report on progress on this obtained in recent joint work with Tong-Viet and Jiping Zhang.

This talk is part of the Algebra seminar series.

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• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room A

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