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arXiv · 1602.01424

The Sylow Subgroups of a Finite Reductive Group

Michel Enguehard·Jean Michel
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Abstract

We describe the structure of Sylow {\ell}-subgroups of a finite reduc-tive group G(Fq) when q $\not\equiv$ 0 (mod {\ell}) that we find governed by a complex reflection group attached to G and {\ell}, which depends on {\ell} only through the set of cyclotomic factors of the generic order of G(Fq) whose value at q is divisible by {\ell}. We also tackle the more general case G F where F is an isogeny whose a power is a Frobenius morphism.

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Michel Enguehard, Jean Michel. 2016-02-03. The Sylow Subgroups of a Finite Reductive Group. https://arxiv.org/abs/1602.01424

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