UNITARY UNITS IN INTEGRAL GROUP RINGS

DOI10.1142/S0219498806001569zbMath1108.16028MaRDI QIDQ3379464

Ann Dooms

Publication date: 6 April 2006

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

zbMATH Keywords

subgroups of finite indexnilpotent groupsintegral group ringsunitary unitsgroups of normalized unitsBass cyclic unitsbicyclic 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 (5)

UNITS IN F₂D_2p ⋮ Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups ⋮ Unitary Units Satisfying a Group Identity ⋮ Generic Constraint-based Block Modeling using Constraint Programming

Cites Work

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• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Describing units of integral group rings of some 2-groups
• THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE
• Bicyclic and Bass Cyclic Units in Group Rings
• Bicyclic Units in some Integral Group Rings
• Central units of integral group rings of nilpotent groups
• Unitary subgroup of integral group rings

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