Logical Distinction Between Diagrammatic and Cohen–Lyndon Asphericity

DOI10.1142/S0218196703001456zbMath1064.20034MaRDI QIDQ3043611

Igor Biskup

Publication date: 6 August 2004

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

zbMATH Keywords

presentationsCW-complexesspherical picturesCohen-Lyndon asphericitydiagrammatic asphericity

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

• The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators
• Aspherical group presentations
• Framed links for Peiffer identities
• A COLORING TEST FOR ASPHERICITY

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