Alternating sums over π-subgroups

authored by

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Universitat de Valencia

Type

Article

Journal

Journal of Pure and Applied Algebra

Volume

227

ISSN

0022-4049

Publication date

03.2023

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.1016/j.jpaa.2022.107227 (Access: Closed)