Real class sizes and real character degrees

Robert M. Guralnick, Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

11 Scopus citations

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
StatePublished - Jan 1 2011

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Real class sizes and real character degrees'. Together they form a unique fingerprint.

  • Cite this