Torsion-free soluble groups, completions, and the zero divisor conjecture

DOI10.1016/0022-4049(88)90029-1zbMath0666.16007OpenAlexW1964928446WikidataQ123224880 ScholiaQ123224880MaRDI QIDQ1117009

Peter H. Kropholler, William Crawley-Boevey, Peter A. Linnell

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90029-1

zbMATH Keywords

completionlocally indicable groupsgroup ringdomainfinite rankfinite global dimensionNoetherian local ringtorsion-free soluble grouppolycyclic pro-p-groupTorsion-free metabelian-by-finite groupsZero Divisor Conjecture

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Limits, profinite groups (20E18)

Related Items (7)

Molino theory for matchbox manifolds ⋮ Injective modules, localization and completion in group algebras ⋮ Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups ⋮ Torsion in pro-finite completions of torsion-free groups ⋮ Torsion in profinite completions ⋮ Subspace topologies in central extensions ⋮ RESTRICTED LIE ALGEBRAS OF POLYCYCLIC GROUPS

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