An embedding of the group algebra of a torsion-free one-relator group in a field

DOI10.1016/0021-8693(78)90260-0zbMath0381.16006OpenAlexW2002096572MaRDI QIDQ1248143

Jacques Lewin, Tekla Lewin

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90260-0

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Homological dimension in associative algebras (16E10) Division rings and semisimple Artin rings (16Kxx)

Related Items

Null- and positivstellensätze for rationally resolvable ideals ⋮ Von Staudt constructions for skew-linear and multilinear matroids ⋮ On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields ⋮ Free product decompositions in images of certain free products of groups. ⋮ Computing the inversion height of some embeddings of the free algebra and the free group algebra. ⋮ Amenable groups of finite cohomological dimension and the zero divisor conjecture ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ Noncommutative marked surfaces ⋮ On locally indicable groups ⋮ The agrarian polytope of two‐generator one‐relator groups ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ A Group Theoretical Equivalent of the Zero Divisor Problem ⋮ On unique product groups ⋮ On universal fields of fractions for free algebras ⋮ The HNN construction for rings ⋮ One-relator quotients of free products ⋮ Stable finiteness of group rings in arbitrary characteristic ⋮ Isoperimetric inequalities and the homology of groups ⋮ The inversion height of the free field is infinite. ⋮ Agrarian and $L^2$-invariants ⋮ Verbal subgroups and subalgebras in skew fields.

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