Zero-groups and maximal tori
| dc.creator | Berarducci, Alessandro | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:53Z | |
| dc.date.available | 2026-07-07T06:50:53Z | |
| dc.description | We give a presentation of various results on zero-groups in o-minimal structures together with some new observations. In particular we prove that if G is a definably connected definably compact group in an o-minimal expansion of a real closed field, then for any maximal definably connected abelian subgroup T of G, G is the union of the conjugates of T. This can be seen as a generalization of the classical theorem that a compact connected Lie group is the union of the conjugates of any of its maximal tori. | |
| dc.identifier | https://arxiv.org/abs/math/0511162 | |
| dc.identifier | http://arxiv.org/abs/math/0511162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104807 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.subject | 03C64 | |
| dc.title | Zero-groups and maximal tori | |
| dc.type | text |