Modular group algebras with almost maximal Lie nilpotency indices. I
| dc.creator | Bovdi, Victor | |
| dc.creator | Juhasz, Tibor | |
| dc.creator | Spinelli, Ernesto | |
| dc.date | 2005-07-13 | |
| dc.date.accessioned | 2026-07-07T05:21:39Z | |
| dc.date.available | 2026-07-07T05:21:39Z | |
| dc.description | Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that, if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G'|+1, where |G'| is the order of the commutator subgroup. The authors have previously determined the groups G for which this index is maximal and here they determine the G for which it is `almost maximal', that is the next highest possible value, namely |G'|-p+2. | |
| dc.identifier | https://arxiv.org/abs/math/0507261 | |
| dc.identifier | http://arxiv.org/abs/math/0507261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75767 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S34, 17B30 | |
| dc.title | Modular group algebras with almost maximal Lie nilpotency indices. I | |
| dc.type | text |