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arXiv · 2605.05757

Kernel of Scott modules and Brauer indecomposability

Lin Wu
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Abstract

Let $k$ be an algebraically closed field of prime characteristic $p$. Let $G$ be a finite group. We investigate the Brauer indecomposability of Scott $kG$-modules in relation to the kernel of modules. We generalize a criterion for Brauer indecomposability. We also prove that, in certain cases, Brauer indecomposability of a Scott $kG$-module can be lifted from that of a Scott module over a $p$-local subgroup.

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BibTeXRIS

Lin Wu. 2026-05-07. Kernel of Scott modules and Brauer indecomposability. https://arxiv.org/abs/2605.05757

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