Hirsch induction and torsion units in group rings

DOI10.1007/BF01197214zbMath0823.16021OpenAlexW2027854465MaRDI QIDQ1893234

Zbigniew S. Marciniak, Sudarshan K. Sehgal

Publication date: 15 October 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197214

zbMATH Keywords

polycyclic groupsmetabelian groupstorsion unitsZassenhaus conjectureunique trace property\(p\)-local version of Hirsch inductionBass tracefinite group of unitsgroup of normalized integral units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

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Cites Work

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• Torsion units in integral group rings of some metabelian groups. II
• Group rings and their augmentation ideals
• Torsion units in infinite group rings
• Finite matrix groups over nilpotent group rings
• Torsion units in integral group rings.

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