The SQ-universality of some finitely presented groups

DOI10.1017/S1446788700013859zbMath0267.20026OpenAlexW2031176667MaRDI QIDQ5685288

Peter M. Neumann

Publication date: 1973

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700013859

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (26)

Strong Tits alternatives for compact 3-manifolds with boundary ⋮ Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ SQ-universality of free products with amalgamated finite subgroups ⋮ A finitely presented torsion-free simple group ⋮ Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\) ⋮ GOLOD–SHAFAREVICH GROUPS: A SURVEY ⋮ On the SQ-Universality of HNN Groups ⋮ Quotients of the congruence kernels of \(\text{SL}_ 2\) over arithmetic Dedekind domains ⋮ Constructing finitely presented infinite nearly simple groups ⋮ Three amalgams with remarkable normal subgroup structures. ⋮ Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields ⋮ Infinite groups ⋮ New Simple Lattices in Products of Trees and their Projections ⋮ Covering space proofs in combinatorial group theory ⋮ Vastness properties of automorphism groups of RAAGs ⋮ The \(SQ\)-universality of one-relator products of cyclics ⋮ APPLICATIONS OF p-DEFICIENCY AND p-LARGENESS ⋮ Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients] ⋮ Lattices in product of trees ⋮ On the SQ-universality of groups with special presentations ⋮ Large groups of deficiency 1. ⋮ Acylindrical hyperbolicity of groups acting on trees ⋮ CONJUGATING AUTOMORPHISMS OF GRAPH PRODUCTS: KAZHDAN’S PROPERTY (T) AND SQ-UNIVERSALITY ⋮ Operator algebras associated with free products of groups with amalgamation ⋮ Realisation of groups as automorphism groups in permutational categories ⋮ Free quotients of infinite rank of GL₂ over Dedekind domains

Cites Work

• Unnamed Item
• Small cancellation theory over free products with amalgamation
• Subgroups of infinite index in Fuchsian groups
• Embedding Theorems for Groups
• Factor Groups of the Modular Group
• Embedding Theorems for Countable Groups
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Some Remarks on Infinite Groups
• Generalized Free Products with Amalgamated Subgroups
• Embedding Theorems for Groups
• An essay on free products of groups with amalgamations

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