The elements of finite order in the group of units of group rings of free products of groups

DOI10.1080/00927878908823845zbMath0687.16013OpenAlexW2052090481MaRDI QIDQ4205586

A. I. Lichtman, Sudarshan K. Sehgal

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823845

zbMATH Keywords

group ringslower central serieselements of finite orderintegral group ringfree product of groupsuniversal division ring of fractionsCartesian subgroupfull matrix ring over a division ringnormalized unit of finite order

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Unnamed Item ⋮ Bass conjecture and the group trace property

Cites Work

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• Torsion units in integral group rings of metacyclic groups
• Torsion units in integral group rings of some metabelian groups. II
• On PI-subrings of matrix rings over some classes of skew fields
• Units of integral group rings of metabelian groups
• On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
• Annihilators of relation modules. II
• The Residual Nilpotence of Wreath Products

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