Torsion-free group without unique product property
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Publication:1820239
DOI10.1016/0021-8693(87)90125-6zbMath0614.20021OpenAlexW1997369708MaRDI QIDQ1820239
Publication date: 1987
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(87)90125-6
relationsgeneratorssmall cancellation theorytorsion free groupunique product propertyzero divisor problem
Group rings (16S34) Generators, relations, and presentations of groups (20F05) Cancellation theory of groups; application of van Kampen diagrams (20F06)
Related Items (18)
Unnamed Item ⋮ A combination theorem for cubulation in small cancellation theory over free products ⋮ Unique product groups and congruence subgroups ⋮ How to generalize known results on equations over groups. ⋮ Rips construction without unique product ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ On the support of *-symmetric units in group algebras ⋮ Small doubling in $m$-Engel groups ⋮ Construction of a two unique product semigroup defined by permutation relations of quaternion type. ⋮ A counterexample to the unit conjecture for group rings ⋮ The structure of one-relator relative presentations and their centres ⋮ Negative curvature in graphical small cancellation groups ⋮ Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations ⋮ Fresh orderings of groups ⋮ Finite index subgroups without unique product in graphical small cancellation groups: Figure 1. ⋮ Acylindrical hyperbolicity of cubical small cancellation groups ⋮ LOCALLY INVARIANT ORDERS ON GROUPS ⋮ Rips-Segev torsion-free groups without the unique product property
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