Lie nilpotency indices of modular group algebras

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dc.creatorBovdi, V. A.
dc.creatorSrivastava, J. B.
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:40Z
dc.date.available2026-07-07T07:37:40Z
dc.descriptionLet 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 class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) Lie nilpotency index is the next highest possible.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0612841
dc.identifierhttp://arxiv.org/abs/math/0612841
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120851
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16S34, 17B30
dc.titleLie nilpotency indices of modular group algebras
dc.typetext

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