A Variation on the Unique Product Property

DOI10.1112/S0024610700001307zbMath1033.20040OpenAlexW2007757392MaRDI QIDQ3150964

Brian H. Bowditch

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610700001307

zbMATH Keywords

free productstorsion-free groupsgroup ringsgraphs of groupszero divisorssurface groupsunique product groupsright orderable groupsdiffuse groups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Ordered groups (group-theoretic aspects) (20F60) Groups acting on trees (20E08)

Related Items (11)

REWRITING SYSTEMS AND ORDERINGS ON ARTIN MONOIDS ⋮ Orderable groups, elementary theory, and the Kaplansky conjecture ⋮ A short note about diffuse Bieberbach groups ⋮ Amenable groups with a locally invariant order are locally indicable. ⋮ Generalizations of the Burns–Hale theorem ⋮ Free group automorphisms, invariant orderings and topological applications ⋮ A counterexample to the unit conjecture for group rings ⋮ Finite index subgroups without unique product in graphical small cancellation groups: Figure 1. ⋮ Connective Bieberbach groups ⋮ LOCALLY INVARIANT ORDERS ON GROUPS ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

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