Character degree graphs of solvable groups

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• Emanuele Pacifici
• Wednesday 21 January 2015, 16:30-17:30
• MR12.

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

Given a finite group G, let Irr(G) denote the set of irreducible complex characters ofG, and cd(G) the set of degrees of the characters in Irr(G). As many results inthe literature show, there is a deep interplay between the group structure of Gand the arithmetical structure of cd(G), and a useful tool in this context isto attach some particular graphs to the set cd(G). The aim of this talk is topresent some new results, obtained in a joint work with C. Casolo, S. Dolfi andL. Sanus, concerning this subject; in particular, we will focus on finitesolvable groups whose (prime) character degree graph is connected with diameterthree.

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

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