Weights and Nilpotent Subgroups

authored by

Gabriel Navarro, Benjamin Sambale

Abstract

In a finite group $G$, we consider nilpotent weights and prove a $\pi $-version of the Alperin Weight Conjecture for certain $\pi $-separable groups. This widely generalizes an earlier result by I. M. Isaacs and the 1st author.

External Organisation(s)

Universitat de Valencia
Friedrich Schiller University Jena

Type

Article

Journal

International Mathematics Research Notices

Volume

2021

Pages

2526-2538

No. of pages

13

ISSN

1073-7928

Publication date

02.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://arxiv.org/abs/1812.06472 (Access: Open)
https://doi.org/10.1093/imrn/rnz195 (Access: Closed)