Units of group rings of groups of order 16

DOI10.1017/S0017089500009952zbMath0798.16019MaRDI QIDQ4277950

Eric Jespers, Michael M. Parmenter

Publication date: 7 November 1994

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integral group ringsunit groupbicyclic unitsgroups of order 16Bass-Milnor cyclic units

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 (13)

Unitary units in group rings of groups of order \(16\) ⋮ Units OF Z(G × C₂) ⋮ COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS ⋮ Unnamed Item ⋮ MULTIPLICATIVE JORDAN DECOMPOSITION IN INTEGRAL GROUP RINGS OF GROUPS OF ORDER 16 ⋮ Degree 1 and 2 representations of nilpotent groups and applications to units of group rings ⋮ Group rings and Jordan decomposition ⋮ ON THE UNITS OF THE INTEGRAL GROUP RING Z[G × C_p] ⋮ Abelianization of the unit group of an integral group ring ⋮ Groups of units of integral group rings of Kleinian type ⋮ Free Normal Complements and the Unit Group of Integral Group Rings ⋮ Units of group rings ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Units of integral group rings of metabelian groups
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Describing units of integral group rings of some 2-groups
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups

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