Finite matrix groups over nilpotent group rings

DOI10.1006/jabr.1996.0134zbMath0847.16016OpenAlexW1990683524MaRDI QIDQ1913968

Sudarshan K. Sehgal, Zbigniew S. Marciniak

Publication date: 9 July 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0134

zbMATH Keywords

finite subgroupspolycyclic-by-finite groupsfinitely generated nilpotent groupsintegral group ringsisomorphism problem\(p\)-groupsgroups of normalized unitssubnormal seriestorsion free nilpotent groupsgroups of matrices of augmentation one

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) 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)

Related Items (3)

Unnamed Item ⋮ Hirsch induction and torsion units in group rings ⋮ Isomorphisms of integral group rings of infinite groups

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