Lie-Nilpotency Indices of Group Algebras

DOI10.1112/BLMS/24.1.68zbMath0777.20004OpenAlexW2093316128WikidataQ115257553 ScholiaQ115257553MaRDI QIDQ4006853

Inder Bir Singh Passi, Ashwani K. Bhandari

Publication date: 27 September 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/24.1.68

zbMATH Keywords

group algebraLie commutatorsLie-nilpotentLie-dimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)

Related Items (22)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Group algebras with almost maximal Lie nilpotency index. ⋮ Lie nilpotency indices of modular group algebras II ⋮ Modular group algebras with almost maximal Lie nilpotency indices. ⋮ Modular group algebras of Lie nilpotency index 8p − 6 ⋮ On the Lie nilpotency indices of modular group algebras ⋮ Group algebras of Lie nilpotency index 12 and 13 ⋮ Lie Dimension Subgroups and Central Series Related to Group Algebras ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Unnamed Item ⋮ The derived length of Lie soluble group rings. I ⋮ Lie structure of smash products ⋮ Lie nilpotency index of a modular group algebra ⋮ On Lie nilpotent modular group algebras ⋮ A note on Lie nilpotent group algebras ⋮ Group algebras of Lie nilpotency index 14 ⋮ Lie properties of the group algebra and the nilpotency class of the group of units ⋮ Lie Nilpotency Indices of Modular Group Algebras ⋮ Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8 ⋮ The nilpotency class of the unit group of a modular group algebra. III

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