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arXiv · 2604.09974

2-blocks with abelian defect groups and inertial quotient of prime order

Qianhu Zhou·Kun Zhang
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Abstract

In this paper, we classify all $2$-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.

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Qianhu Zhou, Kun Zhang. 2026-04-11. 2-blocks with abelian defect groups and inertial quotient of prime order. https://arxiv.org/abs/2604.09974

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