Alternating sums over pi-subgroups

Research output: Working paper/Preprint › Preprint

Authors

  • Gabriel Navarro
  • Benjamin Sambale

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 23 Sept 2021

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 pi and prove a pi-version of Dade's conjecture for pi-separable groups. This extends the (known) p-solvable case of the original conjecture and relates to a pi-version of Alperin's weight conjecture previously established by the authors.

Keywords

    math.RT, math.GR

Cite this

Alternating sums over pi-subgroups. / Navarro, Gabriel; Sambale, Benjamin.
2021.

Research output: Working paper/Preprint › Preprint

Navarro, G., & Sambale, B. (2021). Alternating sums over pi-subgroups. Advance online publication. http://arxiv.org/abs/2109.11198v1
Navarro G, Sambale B. Alternating sums over pi-subgroups. 2021 Sept 23. Epub 2021 Sept 23.
Navarro, Gabriel ; Sambale, Benjamin. / Alternating sums over pi-subgroups. 2021.
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