Non-triviality of some one-relator products of three groups

DOI10.1142/S0218196716500223zbMath1343.20035arXiv1509.02717OpenAlexW2964342945MaRDI QIDQ2814679

James Howie, Ihechukwu Chinyere

Publication date: 22 June 2016

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

Full work available at URL: https://arxiv.org/abs/1509.02717

zbMATH Keywords

picturesrepresentationsone-relator products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

• The genus problem for one-relator products of locally indicable groups
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. III. The Word Problem
• Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
• Dehn Surgery and Satellite Knots
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers
• The solution of length three equations over groups
• On the Abstract Groups (3, n , p ;2)
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