Modular group algebras with almost maximal Lie nilpotency indices, II
| dc.creator | Bovdi, Victor | |
| dc.date | 2006-07-06 | |
| dc.date.accessioned | 2026-07-07T07:18:05Z | |
| dc.date.available | 2026-07-07T07:18:05Z | |
| 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. Previously we determined the groups G for which the upper/lower nilpotency index is maximal or the upper nilpotency index is `almost maximal' (that is, of the next highest possible value, namely |G'|-p +2). Here we determine the groups for which the lower nilpotency index is `almost maximal'. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607152 | |
| dc.identifier | http://arxiv.org/abs/math/0607152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114176 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16S34, 17B30 | |
| dc.title | Modular group algebras with almost maximal Lie nilpotency indices, II | |
| dc.type | text |