A family of two-generator non-Hopfian groups

DOI10.1142/S0218196717500321zbMath1423.20027arXiv1609.04288MaRDI QIDQ4588871

Makoto Sakuma, Donghi Lee

Publication date: 3 November 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04288

zbMATH Keywords

small cancellation theory2-bridge link groupnon-Hopfian group

Mathematics Subject Classification ID

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• Epimorphisms from 2-bridge link groups onto Heckoid groups. II
• Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements. I
• Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
• Peripheral fillings of relatively hyperbolic groups.
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• Endomorphisms of hyperbolic groups. I: The Hopf property
• Automorphisms and endomorphisms of lacunary hyperbolic groups
• A non-Hopfian automatic group
• Makanin-Razborov diagrams for hyperbolic groups
• Non-Hopfian relatively free groups.
• RELATIVELY HYPERBOLIC GROUPS
• Epimorphisms between 2-bridge link groups: homotopically trivial simple loops on 2-bridge spheres
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Some two-generator one-relator non-Hopfian groups
• On the hyperbolicity of small cancellation groups and one-relator groups
• A Two-Generator Group Isomorphic to a Proper Factor Group
• A Finitely Related Group with An Isomorphic Proper Factor Group
• Relatively hyperbolic groups
• Ascending HNN extensions of residually finite groups can be non-Hopfian and can have very few finite quotients

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