The derived length of the unit group of a group algebra — The case G′ = Sylp(G)

DOI10.1142/S0219498817501420zbMath1382.16019MaRDI QIDQ4975378

Tibor Juhász

Publication date: 4 August 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group of unitsgroup ringderived length

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

On the derived length of the unit group of group algebras of groups with cyclic commutator subgroup ⋮ On the lower bound of the derived length of the unit group of a nontorsion group algebra ⋮ Modular group algebras with centrally metabelian unit groups ⋮ On group algebras whose group of units has maximal derived length ⋮ Group rings with metabelian unit groups

Cites Work

• Engel properties of group algebras. II
• A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA
• ON THE DERIVED LENGTH OF THE GROUP OF UNITS OF A GROUP ALGEBRA

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