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arXiv · 1907.10353

Bounds on the number of simple modules in blocks of finite groups of Lie type

Ruwen Hollenbach
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Abstract

Let $G$ be a simple, simply connected linear algebraic group of exceptional type defined over $\mathbb{F}_q$ with Frobenius endomorphism $F: G \to G$. In this work we give upper bounds on the number of simple modules in the quasi-isolated $\ell$-blocks of $G^F$ and $G^F/Z(G^F)$ when $\ell$ is bad for $G$.

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Ruwen Hollenbach. 2019-07-24. Bounds on the number of simple modules in blocks of finite groups of Lie type. https://arxiv.org/abs/1907.10353

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