Alternating sums over πœ‹-subgroups

Research output: Contribution to journal β€Ί Article β€Ί Research β€Ί peer review

Authors

  • Gabriel Navarro
  • Benjamin Sambale

Research Organisations

External Research Organisations

  • Universitat de Valencia (UV)
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Details

Original languageEnglish
Article number107227
JournalJournal of Pure and Applied Algebra
Volume227
Issue number3
Early online date30 Aug 2022
Publication statusPublished - Mar 2023

Abstract

Dade's conjecture predicts that if p is a prime, then the number of irreducible characters of a finite group of a given p-defect is determined by local subgroups. In this paper we replace p by a set of primes Ο€ and prove a Ο€-version of Dade's conjecture for Ο€-separable groups. This extends the (known) p-solvable case of the original conjecture and relates to a Ο€-version of Alperin's weight conjecture previously established by the authors.

Keywords

    Alternating sums, Dade's conjecture, Ο€-subgroups

ASJC Scopus subject areas

Cite this

Alternating sums over πœ‹-subgroups. / Navarro, Gabriel; Sambale, Benjamin.
In: Journal of Pure and Applied Algebra, Vol. 227, No. 3, 107227, 03.2023.

Research output: Contribution to journal β€Ί Article β€Ί Research β€Ί peer review

Navarro G, Sambale B. Alternating sums over πœ‹-subgroups. Journal of Pure and Applied Algebra. 2023 Mar;227(3):107227. Epub 2022 Aug 30. doi: 10.1016/j.jpaa.2022.107227, 10.48550/arXiv.2109.11198
Navarro, Gabriel ; Sambale, Benjamin. / Alternating sums over πœ‹-subgroups. In: Journal of Pure and Applied Algebra. 2023 ; Vol. 227, No. 3.
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