On conjugacy of unipotent elements in finite groups of Lie type
| dc.creator | Goodwin, Simon M. | |
| dc.creator | Roehrle, Gerhard | |
| dc.date | 2007-11-19 | |
| dc.date | 2008-07-11 | |
| dc.date.accessioned | 2026-07-07T09:49:29Z | |
| dc.date.available | 2026-07-07T09:49:29Z | |
| dc.description | Let $\bfG$ be a connected reductive algebraic group defined over $\F_q$, where $q$ is a power of a prime $p$ that is good for $\bfG$. Let $F$ be the Frobenius morphism associated with the $\FF_q$-structure on $\bfG$ and set $G = \bfG^F$, the fixed point subgroup of $F$. Let $\bfP$ be an $F$-stable parabolic subgroup of $\bfG$ and let $\bfU$ be the unipotent radical of $\bfP$; set $P = \bfP^F$ and $U = \bfU^F$. Let $G_\uni$ be the set of unipotent elements in $G$. In this note we show that the number of conjugacy classes of $U$ in $G_\uni$ is given by a polynomial in $q$ with integer coefficients. | |
| dc.description | 9 pages, Minor changes and corrections | |
| dc.identifier | https://arxiv.org/abs/0711.2959 | |
| dc.identifier | http://arxiv.org/abs/0711.2959 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164604 | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 20G40, 20E45 (Primary), 20D20 (Secondary) | |
| dc.title | On conjugacy of unipotent elements in finite groups of Lie type | |
| dc.type | text |