Writing units of integral group rings of finite abelian groups as a product of Bass units

DOI10.1090/S0025-5718-2013-02718-4zbMath1312.16034arXiv1111.3485OpenAlexW2037681593MaRDI QIDQ2862540

Inneke Van Gelder, Eric Jespers, Ángel Del Río

Publication date: 15 November 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3485

zbMATH Keywords

subgroups of finite indexfinite Abelian groupsgroups of unitscyclotomic unitsintegral group ringsfree Abelian subgroupsBass 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 (4)

Group rings of finite strongly monomial groups: central units and primitive idempotents. ⋮ Central units of integral group rings ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring.

Uses Software

• GAP
• wedderga

Cites Work

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• Constructing units in commutative group rings
• An introduction to group rings
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Linear groups and group rings.
• On the group ring of a finite abelian group
• Generic units in abelian group rings
• The Units of Group-Rings
• Abelian Group Algebras of Finite Order

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