Real class sizes and real character degrees

Robert M. Guralnick, Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

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Abstract

Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).

Original languageEnglish (US)
Pages (from-to)47-71
Number of pages25
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume150
Issue number1
DOIs
Publication statusPublished - Jan 2011

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ASJC Scopus subject areas

  • Mathematics(all)

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