Units in metabelian group rings: Non-splitting examples for normalized units

DOI10.1016/0022-4049(83)90021-XzbMath0509.16006MaRDI QIDQ1838558

Klaus W. Roggenkamp, Leonard L. Scott

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

metabelian groupsplittingFrobenius groupnormalized unitsintegral group ringaugmentation maptorsion free normal complement

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 (5)

Unnamed Item ⋮ The modular group algebra of a central-elementary-by-abelian p-group ⋮ On the unit groups of the integral group rings of metacyclic groups ⋮ Torsion units in integral group rings, conjugacy classes globally versus locally ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

• Unnamed Item
• Unnamed Item
• Zur Einheitengruppe der ganzzahligen Gruppenringe metazyklischer Frobeniusgruppen
• On the units of the integral group ring of a dihedral group
• Units in integral group rings
• Units of integral group rings of metabelian groups
• Projective covers for augmentation ideals of finite groups
• UNITS IN INTEGRAL METABELIAN GROUPRINGS I, JACKSON'S UNIT THEOREM REVISITED
• THE GROUPS OF UNITS OF THE INTEGRAL GROUP RINGS OF FINITE METABELIAN AND FINITE NILPOTENT GROUPS
• Class groups for integral representations of metacyclic groups

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