Calculating conjugacy classes in Sylow $p$-subgroups of finite Chevalley groups
| dc.creator | Goodwin, Simon M. | |
| dc.creator | Roehrle, Gerhard | |
| dc.date | 2008-01-02 | |
| dc.date | 2008-09-23 | |
| dc.date.accessioned | 2026-07-07T10:04:09Z | |
| dc.date.available | 2026-07-07T10:04:09Z | |
| dc.description | In earlier work, the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow $p$-subgroup $U(q)$ of a finite Chevalley group $G(q)$, valid when $q$ is a power of a good prime for $G(q)$. In this paper we develop this algorithm and discuss an implementation in the computer algebra language {\sf GAP}. Using the resulting computer program we are able to calculate the parametrization of the conjugacy classes in $U(q)$, when $G(q)$ is of rank at most 6. In these cases, we observe that the number of conjugacy classes of $U(q)$ is given by a polynomial in $q$ with integer coefficients. | |
| dc.description | 14 pages: Significant revisions and explanations expanded | |
| dc.identifier | https://arxiv.org/abs/0801.0396 | |
| dc.identifier | http://arxiv.org/abs/0801.0396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169564 | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 20G40, 20D20, 20E45 | |
| dc.title | Calculating conjugacy classes in Sylow $p$-subgroups of finite Chevalley groups | |
| dc.type | text |