Sylow subgroups, exponents, and character values

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

If G is a finite group, p is a prime, and P is a Sylow p-subgroup of G, we study how the exponent of the abelian group P/P is affected and how it affects the values of the complex characters of G. This is related to Brauer’s Problem 12. Exactly how this is done is one of the last unsolved consequences of the McKay–Galois conjecture.

Original languageEnglish (US)
Pages (from-to)4263-4291
Number of pages29
JournalTransactions of the American Mathematical Society
Volume372
Issue number6
DOIs
StatePublished - Sep 15 2019
Externally publishedYes

Keywords

  • Character tables
  • McKay conjecture
  • Sylow subgroups

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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