On One-Relator Groups Having Elements of Finite Order

DOI10.2307/2038048zbMath0242.20035OpenAlexW4232179653MaRDI QIDQ5652880

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Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038048

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (15)

The JSJ-decompositions of one-relator groups with torsion. ⋮ On the word problem for special monoids ⋮ Free properly discontinuous actions on homotopy surfaces ⋮ Asymptotic dimension of graphs of groups and one-relator groups ⋮ One-relator Kähler groups ⋮ Non-orientable surface-plus-one-relation groups. ⋮ On locally indicable groups ⋮ Infinite groups ⋮ The word problem for one-relation monoids: a survey ⋮ \(L^2\)-Betti numbers of one-relator groups. ⋮ Nonpositive immersions, sectional curvature, and subgroup properties ⋮ The outer automorphism groups of two-generator, one-relator groups with torsion ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups ⋮ One-Relator Quotients and Free Products of Cyclics ⋮ One-relator Sasakian groups

Cites Work

• Unnamed Item
• On equivalent sets of elements in a free group
• Subgroups of HNN Groups and Groups with one Defining Relation
• The Free Product of Two Groups with a Malnormal Amalgamated Subgroup
• Free Bases for Normal Subgroups of Free Groups
• Decomposition of a Group with a Single Defining Relation into a Free Product
• A topology for free groups and related groups

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