The Sylow Subgroups of a Finite Reductive Group
The Sylow Subgroups of a Finite Reductive Group
We describe the structure of Sylow ℓ-subgroups of a finite reductive group G(Fq) when q ≡ 0 (mod ℓ) that we find governed by a complex reflection group attached to G and ℓ, which depends on ℓ only through the set of cyclotomic factors of the generic order of G(Fq) …