Weinbaum's Conjecture on Unique Subwords of Nonperiodic Words

DOI10.2307/2159339zbMath0790.20052OpenAlexW4254836425WikidataQ123334743 ScholiaQ123334743MaRDI QIDQ4018799

James Howie, Andrew J. Duncan

Publication date: 16 January 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159339

zbMATH Keywords

free groupcyclic permutationone-relator products of groupsnonperiodic wordconjecture of Weinbaumcyclic subword

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) 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)

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Structure of words with short 2-length in a free product of groups ⋮ A Mayer-Vietoris sequence in group homology and the decomposition of relation modules ⋮ Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator. ⋮ One-relator quotients of right-angled Artin groups ⋮ On unique factorizations of primitive words. ⋮ Spelling theorems and Cohen-Lyndon theorems for one-relator products

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