A Quasi Curtis-Tits-Phan theorem for the symplectic group
| dc.creator | Blok, Rieuwert J. | |
| dc.creator | Hoffman, Corneliu | |
| dc.date | 2006-04-12 | |
| dc.date.accessioned | 2026-07-07T07:10:53Z | |
| dc.date.available | 2026-07-07T07:10:53Z | |
| dc.description | We obtain the symplectic group as an amalgam of low rank subgroups akin to Levi components. We do this by having the group act flag-transitively on a new type of geometry and applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups. The geometry consists of all subspaces of maximal rank in a vector space of maximal rank with respect to a symplectic form. The main result holds for fields of size at least 3. We analyze the geometry over the field of size 2 and describe its simply connected cover if different from the geometry. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604300 | |
| dc.identifier | http://arxiv.org/abs/math/0604300 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111560 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 51A50 (Primary), 57M07 (Secondary) | |
| dc.title | A Quasi Curtis-Tits-Phan theorem for the symplectic group | |
| dc.type | text |