The surface group conjecture: cyclically pinched and conjugacy pinched one-relator groups.

DOI10.1007/s00025-013-0307-9zbMath1287.20044arXiv1208.3992OpenAlexW1992233660WikidataQ123114593 ScholiaQ123114593MaRDI QIDQ370820

Mohammad Hasan, H. S. Yoon

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3992

zbMATH Keywords

surface groupsconjugacy pinched one-relator groupscyclically pinched one-relator groupsfree subgroups of infinite indexfully residually free groupssurface group conjecture

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (1)

New results on the prefix membership problem for one-relator groups

Cites Work

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• One-ended subgroups of graphs of free groups with cyclic edge groups.
• A combination theorem for negatively curved groups
• On generalised free products
• Automorphisms and Hopficity of certain Baumslag-Solitar groups
• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Diophantine geometry over groups. III: Rigid and solid solutions.
• Subgroups of finite index of Fuchsian groups
• Subgroups of infinite index in Fuchsian groups
• On torsion-free groups with infinitely many ends
• \(\exists\)-free groups
• Notes on Sela's work: Limit groups and Makanin-Razborov diagrams
• Hyperbolic groups and free constructions
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Subgroups of HNN Groups and Groups with one Defining Relation

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