On one-relator products induced by generalized triangle groups I

DOI10.1080/00927872.2017.1339057zbMath1473.20038arXiv1505.06094OpenAlexW2246606183MaRDI QIDQ5745099

James Howie, Ihechukwu Chinyere

Publication date: 5 June 2018

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

Full work available at URL: https://arxiv.org/abs/1505.06094

zbMATH Keywords

picturesone-relator groupgeneralized triangle groups

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) 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 (2)

Structure of words with short 2-length in a free product of groups ⋮ On one-relator products induced by generalized triangle groups II

Cites Work

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• On relators and diagrams for groups with one defining relation
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. III. The Word Problem
• One-Relator Products Induced from Generalized Triangle Groups
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. II. Fourth Powers
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers
• On one-relator products induced by generalized triangle groups II
• On the Abstract Groups (3, n , p ;2)
• Uniqueness Theorems for Periodic Functions
• The Tits alternative for generalized tetrahedron groups

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