Group rings with solvable unit groups

DOI10.1080/00927878608823296zbMath0579.20006OpenAlexW2131731121MaRDI QIDQ3701612

Jairo Z. Goncalves

Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823296

zbMATH Keywords

group of unitsalgebraic number fieldtorsion elementsp-adic integerstorsion free nilpotent groupHamiltonian 2-group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Unnamed Item ⋮ Alternative loop rings with solvable unit loops ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

• Group algebras of periodic groups of a solvable multiplicative group
• Nilpotent elements in group rings
• Free subgroups in linear groups
• Free Subgroups in the Unit Groups of Integral Group Rings
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