The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators

DOI10.1007/BF01193628zbMath0655.20023OpenAlexW2021164857MaRDI QIDQ1109136

Stephen J. Pride

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193628

zbMATH Keywords

graphgeneratorssmall cancellationdiagrammatic asphericity of presentationsedge presentation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (3)

The Word Problem for Pride Groups ⋮ A generalized weight test with applications to tree presentations ⋮ Logical Distinction Between Diagrammatic and Cohen–Lyndon Asphericity

Cites Work

• Artin groups and infinite Coxeter groups
• On Tit's conjecture and other questions concerning Artin and generalized Artin groups
• Aspherical group presentations
• Spherical diagrams and identities among relations
• Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
• Relation Modules of Groups with Presentations in which Each Relator Involves Exactly Two Types of Generators
• A Finitely Generated Infinite Simple Group
• An essay on free products of groups with amalgamations
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