On the SQ-universality of groups with special presentations

DOI10.1515/JGT.2010.022zbMath1211.20028MaRDI QIDQ3068143

Martin Edjvet, Alina Vdovina

Publication date: 13 January 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

small cancellation conditionsSQ-universal groupsrelatorsspecial presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalized quadrangles and generalized polygons in finite geometry (51E12) Residual properties and generalizations; residually finite groups (20E26) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Hyperbolicity of \(T(6)\) cyclically presented groups ⋮ An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators ⋮ Generalized polygons and star graphs of cyclic presentations of groups ⋮ Redundant relators in cyclic presentations of groups

Cites Work

• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Small cancellation theory and automatic groups
• Large groups of deficiency 1.
• On the T(q)-conditions of small cancellation theory
• SQ-universality of free products with amalgamated finite subgroups
• Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields
• Combinatorial structure of some hyperbolic buildings
• Orbihedra of nonpositive curvature
• The nonexistence of certain generalized polygons
• The SQ-universality and residual properties of relatively hyperbolic groups.
• Star Graphs, Projective Planes and Free Subgroups in Small Cancellation Groups
• On the SQ-universality of T(6)-groups
• The SQ-universality of hyperbolic groups
• A finitely presented torsion-free simple group
• Free Subgroups of Small Cancellation Groups
• The SQ-universality of some finitely presented groups

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