Elementary equivalence of Chevalley groups over fields
| dc.creator | Bunina, E. I. | |
| dc.date | 2007-02-02 | |
| dc.date.accessioned | 2026-07-07T07:44:30Z | |
| dc.date.available | 2026-07-07T07:44:30Z | |
| dc.description | It is proved that (elementary) Chevalley groups $G_π(Φ,K)$ and $G_{π'}(Φ',K')$ (or $E_π(Φ,K)$ and $E_{π'}(Φ',K'))$ over infinite fields $K$ and $K'$ of characteristics $\ne 2$, with weight lattices $Λ$ and $Λ'$, respectively, are elementarily equivalent if and only if the root systems $Φ$ and $Φ'$ are isomorphic, the fields $K$ and $K'$ are elementarily equivalent, the lattices $Λ$ and $Λ'$ coincide. | |
| dc.description | 55 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702044 | |
| dc.identifier | http://arxiv.org/abs/math/0702044 | |
| dc.identifier | Fundamentalnaya i Prikladnaya Matematika, 2006, 12(8), 29-77 (in Russian) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123220 | |
| dc.subject | Group Theory | |
| dc.subject | Logic | |
| dc.subject | 20H20; 03C60 | |
| dc.title | Elementary equivalence of Chevalley groups over fields | |
| dc.type | text |