Finite groups with odd sylow normalizers

Robert M. Guralnick, Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.

Original languageEnglish (US)
Pages (from-to)5129-5139
Number of pages11
JournalProceedings of the American Mathematical Society
Volume144
Issue number12
DOIs
StatePublished - 2016

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Keywords

  • Alperin’s weight conjecture
  • McKay conjecture
  • Sylow normalizers

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Finite groups with odd sylow normalizers. / Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu.

In: Proceedings of the American Mathematical Society, Vol. 144, No. 12, 2016, p. 5129-5139.

Research output: Contribution to journalArticle

Guralnick, Robert M. ; Navarro, Gabriel ; Tiep, Pham Huu. / Finite groups with odd sylow normalizers. In: Proceedings of the American Mathematical Society. 2016 ; Vol. 144, No. 12. pp. 5129-5139.
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