On the SQ-Universality of HNN Groups

DOI10.2307/2042349zbMath0414.20025OpenAlexW4233897902MaRDI QIDQ3049002

Marvin D. Tretkoff, Benjamin Fine

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042349

zbMATH Keywords

largenessfree products with finite amalgamationgroup with infinitely many endsHnn-groups with finite associated subgroupsSq-universality of Hnn-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (4)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\) ⋮ Unnamed Item ⋮ The SQ-universality and residual properties of relatively hyperbolic groups.

Cites Work

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• Small cancellation theory over free products with amalgamation
• The HNN and generalized free product structure of certain linear groups
• Covering space proofs in combinatorial group theory
• The SQ-Universality of Certain Arithmetically Defined Linear Groups
• Sq-Universality in Hnn Groups and One Relator Groups
• Subgroups of HNN Groups and Groups with one Defining Relation
• The SQ-universality of some finitely presented groups
• Embedding Theorems for Groups
• Groups of cohomological dimension one

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