Blocks with abelian defect groups of rank 2 and one simple module

Xueqin Hu

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arXiv · 1909.08788

Blocks with abelian defect groups of rank 2 and one simple module

Xueqin Hu

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Abstract

In this paper, we investigate the block that has an abelian defect group of rank $2$ and its Brauer correspondent has only one simple module. We will get an isotypy between the block and its Brauer correspondent. It will generalize the result of Kessar and Linckelmann (\cite{KL}).

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Xueqin Hu. 2019-09-19. Blocks with abelian defect groups of rank 2 and one simple module. https://arxiv.org/abs/1909.08788

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