Traces of Torsion Units

DOI10.1080/00927872.2014.934571zbMath1336.16041arXiv1210.1879OpenAlexW1585415655MaRDI QIDQ3448270

A. de A. e Silva, A. C. Souza Filho, Stanley Orlando Juriaans

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1210.1879

zbMATH Keywords

conjugacynilpotent groupsgroups of unitssupersolvable groupstracesintegral group ringsnormalized unitspartial augmentationstorsion unitsZassenhaus conjectureunique trace property

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Torsion units in integral group rings of nilpotent metabelian groups
• Torsion units in integral group rings of solvable groups
• On a Property of Nilpotent Groups
• Torsion Units in Integral Group Rings
• From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups

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