2018 / June Volume 13 No.2
The Sylow Subgroups of a Finite Reductive Group
| Published Date |
2018 / June
|
|---|---|
| Title | The Sylow Subgroups of a Finite Reductive Group |
| Author | |
| Keyword | |
| Download | |
| Pagination | 227-247 |
| Abstract | We describe the structure of Sylow $\ell$-subgroups of a finite reductive
group $\mathbf G(\mathbb F_q)$ when $q\not\equiv 0 \pmod \ell$ that we find governed by
a complex reflection group attached to $\mathbf G$ and $\ell$, which depends on
$\ell$ only through the set of cyclotomic factors of the generic order of
$\mathbf G(\mathbb F_q)$ whose value at $q$ is divisible by $\ell$. We also tackle
the more general case of groups $\mathbf G^F$ where $F$ is an isogeny some
power of which is a Frobenius morphism.
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| DOI | |
| AMS Subject Classification |
20G40, 20D20.
|
| Received |
2016-07-22
|
| Accepted |
2016-07-27
|