A solution to Brauer's Problem 14

Research output: Contribution to journalArticleResearchpeer review

Authors

  • John Murray
  • Benjamin Sambale

External Research Organisations

  • Maynooth University
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Details

Original languageEnglish
Pages (from-to)87-91
Number of pages5
JournalJournal of algebra
Volume621
Early online date3 Feb 2023
Publication statusPublished - 1 May 2023

Abstract

It is well known that the number of real irreducible characters of a finite group G coincides with the number of real conjugacy classes of G. Richard Brauer has asked if the number of irreducible characters with Frobenius–Schur indicator 1 can also be expressed in group theoretical terms. We show that this can done by counting solutions of g12…gn2=1 with g1,…,gn∈G.

Keywords

    Brauer's Problem 14, Frobenius–Schur indicator, Real characters

ASJC Scopus subject areas

Cite this

A solution to Brauer's Problem 14. / Murray, John; Sambale, Benjamin.
In: Journal of algebra, Vol. 621, 01.05.2023, p. 87-91.

Research output: Contribution to journalArticleResearchpeer review

Murray J, Sambale B. A solution to Brauer's Problem 14. Journal of algebra. 2023 May 1;621:87-91. Epub 2023 Feb 3. doi: 10.48550/arXiv.2212.08357, 10.1016/j.jalgebra.2023.01.016
Murray, John ; Sambale, Benjamin. / A solution to Brauer's Problem 14. In: Journal of algebra. 2023 ; Vol. 621. pp. 87-91.
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