Derivations of group rings

DOI10.14232/ACTASM-019-664-XzbMath1474.16059arXiv2003.01346OpenAlexW3024260737MaRDI QIDQ4969029

Victor A. Bovdi, Mohammed A. Salim, Orest D. Artemovych

Publication date: 2 October 2020

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01346

zbMATH Keywords

nilpotent groupderivationgroup ringlocally finite grouptorsion-free groupsoldersolvable Lie ringnilpotent Lie ringdifferentially trivial ring

Mathematics Subject Classification ID

Group rings (16S34) Generalizations of solvable and nilpotent groups (20F19) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derivations, actions of Lie algebras (16W25) Engel conditions (20F45)

Related Items (4)

Torsion subgroups, solvability and the Engel condition in associative rings ⋮ Derivations of group rings for finite and FC groups ⋮ Combinatorial description of derivations in group algebras ⋮ A comparison of group algebras of dihedral and quaternion groups

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