Structure of words with short 2-length in a free product of groups

DOI10.1016/J.JALGEBRA.2018.11.005zbMath1446.20053arXiv1804.05325OpenAlexW2962942314WikidataQ128949441 ScholiaQ128949441MaRDI QIDQ1628506

Ihechukwu Chinyere

Publication date: 4 December 2018

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

Full work available at URL: https://arxiv.org/abs/1804.05325

zbMATH Keywords

pictures2-lengthone-relator productunique position

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)

Cites Work

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• Small cancellation conditions satisfied by one-relator groups
• Spelling theorems and Cohen-Lyndon theorems for one-relator products
• 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
• Unique Subwords in Nonperiodic Words
• Euler characteristics for one-relator products of groups
• One-Relator Quotients and Free Products of Cyclics
• The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers
• Weinbaum's Conjecture on Unique Subwords of Nonperiodic Words
• On one-relator products induced by generalized triangle groups II
• On one-relator products induced by generalized triangle groups I

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