On group algebras with metabelian unit groups

DOI10.1007/BF01879732zbMath0857.20001MaRDI QIDQ1922117

János Kurdics

Publication date: 3 March 1997

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

group algebrasfinite groupsmetabelian unit groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (11)

On the derived length of the unit group of group algebras of groups with cyclic commutator subgroup ⋮ A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA ⋮ Contra Continuity Properties of Relations in Relator Spaces ⋮ ON THE DERIVED LENGTH OF THE GROUP OF UNITS OF A GROUP ALGEBRA ⋮ A general framework for studying certain generalized topologically open sets in relator spaces ⋮ GROUP ALGEBRAS WITH UNIT GROUPS OF DERIVED LENGTH THREE ⋮ On the derived length of the unit group of a group algebra ⋮ On group algebras whose group of units has maximal derived length ⋮ Ordinary, super and hyper relators can be used to treat the various generalized open sets in a unified way ⋮ Set-theoretic properties of generalized topologically open sets in relator spaces ⋮ Engel properties of group algebras. II

Cites Work

• Meta-abelian unit groups of group algebras are usually abelian
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