2-blocks with abelian defect groups and inertial quotient of prime order
Group Theory
2026-04-14 v1
Abstract
In this paper, we classify all -blocks for which the defect groups are abelian and the inertial quotient has prime order. As a consequence, we prove that Brou\'e's abelian defect group conjecture holds for all blocks under consideration here.
Cite
@article{arxiv.2604.09974,
title = {2-blocks with abelian defect groups and inertial quotient of prime order},
author = {Qianhu Zhou and Kun Zhang},
journal= {arXiv preprint arXiv:2604.09974},
year = {2026}
}