Mckay natural correspondences on characters

Gabriel Navarro, Pham Huu Tiep, Carolina Vallejo

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Let G be a finite group, let p be an odd prime, and let P Î Sylp(G). If NG(P) = PCG(P), then there is a canonical correspondence between the irreducible complex characters of G of degree not divisible by p belonging to the principal block of G and the linear characters of P. As a consequence, we give a characterization of finite groups that possess a self-normalizing Sylow p-subgroup or a p-decomposable Sylow normalizer.

Original languageEnglish (US)
Pages (from-to)1839-1856
Number of pages18
JournalAlgebra and Number Theory
Volume8
Issue number8
DOIs
StatePublished - 2014

Keywords

  • McKay conjecture
  • P-decomposable Sylow normalizer
  • Self-normalizing Sylow subgroup

ASJC Scopus subject areas

  • Algebra and Number Theory

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