GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT

DOI10.1017/S1446788719000557zbMath1481.20010arXiv1801.05126OpenAlexW3020979111MaRDI QIDQ3295259

Victor A. Bovdi

Publication date: 8 July 2020

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

Full work available at URL: https://arxiv.org/abs/1801.05126

zbMATH Keywords

group algebraunit groupEngel grouplocally nilpotent group

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) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Modular group algebras whose group of unitary units is locally nilpotent ⋮ Torsion subgroups, solvability and the Engel condition in associative rings ⋮ Locally solvable unit group of crossed products

Cites Work

• Engelsche Elemente Noetherscher Gruppen
• On associative algebras satisfying the Engel condition
• Identities for Lie algebras of pro-\(p\) groups
• On compact Engel groups.
• Engelsche Elemente der Länge drei. (Engel elements of length three.)
• Nilpotency of the multiplicative group of a group ring
• Group Algebras with Locally Nilpotent Unit Groups
• GROUP ALGEBRAS WITH ENGEL UNIT GROUPS
• Generalized nilpotency of the multiplicative group of a group ring
• Group algebras whose p-elements form a subgroup
• Group algebras with an Engel group of units
• 4-ENGEL GROUPS ARE LOCALLY NILPOTENT
• Group Algebras with a Solvable Group of Units^#
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