Two Generator Subalgebras of Lie Algebras
| dc.creator | Bowman, Kevin | |
| dc.creator | Towers, David A. | |
| dc.creator | Varea, Vicente R. | |
| dc.date | 2007-04-20 | |
| dc.date.accessioned | 2026-07-07T07:57:37Z | |
| dc.date.available | 2026-07-07T07:57:37Z | |
| dc.description | J. G. Thompson showed that a finite group G is solvable if and only if every two -generated subgroup is solvable. Recently, Grunevald, Kunyavskii, Nikolova, and Plotkin have shown that the analogue holds for finite-dimensional Lie algebras over infinite fields of characteristic greater than 5. It is a natural question to ask to what extent the two-generated subalgebras determine the structure of the algebra. It is to this question that this paper is addressed. Here, we consider the classes of strongly-solvable and of supersolvable Lie algebras, and the property of triangulability. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2723 | |
| dc.identifier | http://arxiv.org/abs/0704.2723 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127710 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B05, 17B30 | |
| dc.title | Two Generator Subalgebras of Lie Algebras | |
| dc.type | text |