The nilpotency class of the unit group of a modular group algebra. III

DOI10.1007/BF01199099zbMath0818.16025OpenAlexW4256700548MaRDI QIDQ1325289

Aner Shalev

Publication date: 14 August 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199099

zbMATH Keywords

unit groupsmodular group algebrasnilpotency classesLie dimension subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (max. 100)

A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA ⋮ 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 ⋮ Unnamed Item ⋮ Lie nilpotency index of a modular group algebra ⋮ On Lie nilpotent modular group algebras ⋮ Lie Nilpotency Indices of Restricted Universal Enveloping 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 ⋮ A note on the upper Lie nilpotency index of a group algebra ⋮ 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

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