The Solution of Length Five Equations Over Groups

DOI10.1080/00927870701247039zbMath1128.20019OpenAlexW2157569838MaRDI QIDQ5756456

Anastasia Evangelidou

Publication date: 4 September 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701247039

zbMATH Keywords

equations over groupsKervaire-Laudenbach conjecturerelative diagrams

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Non-singular Equations over Groups I ⋮ Power-conjugate equations in symmetric groups ⋮ On singular equations over torsion-free groups ⋮ ON SOLVABILITY OF CERTAIN EQUATIONS OF ARBITRARY LENGTH OVER TORSION-FREE GROUPS

Cites Work

• Spherical diagrams and identities among relations
• On the non-triviality of some group extensions given by generators and relations
• A Singular Equation of Length Four Over Groups
• Solutions of equations over groups
• Nonsingular systems of two length three equations over a group
• On pairs of 2-complexes and systems of equations over groups.
• The solution of length three equations over groups
• The solution of Length Four Equations Over Groups
• Aspherical relative presentations
• ON EQUATIONS OVER GROUPS
• Equations of length 4 and one-relator products

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