Modular group algebras with almost maximal Lie nilpotency indices.

DOI10.1007/S10468-006-9022-5zbMath1115.16012arXivmath/0507261OpenAlexW2142325196MaRDI QIDQ865028

Ernesto Spinelli, Tibor Juhász, Victor A. Bovdi

Publication date: 13 February 2007

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507261

zbMATH Keywords

finite \(p\)-groupsgroups of unitsLie nilpotency indicesLie nilpotent modular group algebrasascending central seriesLie nilpotency classesupper Lie codimension subgroupsupper Lie dimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items (12)

Group algebras with almost maximal Lie nilpotency index. ⋮ Lie nilpotency indices of modular group algebras II ⋮ 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 ⋮ Unnamed Item ⋮ Lie nilpotency index of a modular group algebra ⋮ On Lie nilpotent modular group algebras ⋮ Lie Nilpotency Indices of Modular Group Algebras ⋮ A note on the upper Lie nilpotency index of a group algebra ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8

Cites Work

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• Group rings and their augmentation ideals
• Lie properties of the group algebra and the nilpotency class of the group of units
• The nilpotency class of the unit group of a modular group algebra. III
• GENERALIZED LIE NILPOTENT GROUP RINGS
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• A note on Lie nilpotent group rings
• Lie-Nilpotency Indices of Group Algebras
• Endliche Gruppen I
• Lie Solvable Group Rings

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