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arXiv · 2409.05562

The self-dual indecomposable modules in blocks with cyclic defect groups

Caroline Lassueur·John Murray
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Abstract

Let $p$ be an odd prime and let $\mathbf{B}$ be a $p$-block of a finite group, such that $\mathbf{B}$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}$-modules and for each such module determine whether it is symplectic or orthogonal.

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Caroline Lassueur, John Murray. 2024-09-09. The self-dual indecomposable modules in blocks with cyclic defect groups. https://arxiv.org/abs/2409.05562

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