Free subgroups in the group of units of group rings. II

DOI10.1016/0022-314X(85)90044-7zbMath0607.16007OpenAlexW2084953634MaRDI QIDQ1085250

Jairo Z. Goncalves

Publication date: 1985

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(85)90044-7

zbMATH Keywords

free subgroupsgroup of unitsgroup ringalgebraic number fieldtorsion-free nilpotent 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 ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

• Arithmétique des algèbres de quaternions
• Free Subgroups of Units in Group Rings
• Free k-tuples in linear groups
• Free Subgroups in the Unit Groups of Integral Group Rings
• Integral Group Rings with Nilpotent Unit Groups
• Simplification pour les ordres des corps de quaternions totalement définis.
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