Alternating sums over π-subgroups

verfasst von

Gabriel Navarro, Benjamin Sambale

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

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Universitat de Valencia

Typ

Artikel

Journal

Journal of Pure and Applied Algebra

Band

227

ISSN

0022-4049

Publikationsdatum

03.2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie

Elektronische Version(en)

https://doi.org/10.1016/j.jpaa.2022.107227 (Zugang: Geschlossen)