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arXiv · 2409.00403

Lifting Brauer indecomposability of a Scott module

Shigeo Koshitani·İpek Tuvay
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Abstract

It is proven that if a finite group $G$ has a normal subgroup $H$ with $p'$-index (where $p$ is a prime) and $G/H$ is solvable, then for a $p$-subgroup $P$ of $H$, if the Scott $kH$-module with vertex $P$ is Brauer indecomposable, then so is the Scott $kG$-module with vertex $P$, where $k$ is a field of characteristic $p>0$. This has several applications.

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Shigeo Koshitani, İpek Tuvay. 2024-08-31. Lifting Brauer indecomposability of a Scott module. https://arxiv.org/abs/2409.00403

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