One-Relator Products Induced from Generalized Triangle Groups

DOI10.1081/AGB-120037396zbMath1069.20022MaRDI QIDQ3158225

James Howie, Robert Shwartz

Publication date: 21 January 2005

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

zbMATH Keywords

word problemFreiheitssatzgeneralized triangle groupsone-relator products of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) 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 (3)

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

Cites Work

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• Equations of length 4 and one-relator products
• ON THE FREIHEITSSATZ IN CERTAIN ONE-RELATOR FREE PRODUCTS I
• ON THE FREIHEITSSATZ IN CERTAIN ONE-RELATOR FREE PRODUCTS. III
• On discrete generalised triangle groups
• One-relator quotients of free products of cyclic groups

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