2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114176Let 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'.7 pagesRings and AlgebrasGroup Theory16S34, 17B30Modular group algebras with almost maximal Lie nilpotency indices, IItext