Alternating sums over pi-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 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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Typ

Preprint

Publikationsdatum

23.09.2021

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

http://arxiv.org/abs/2109.11198v1 (Zugang: Offen)