On Lyndon's equation in some Λ-free groups and HNN extensions

DOI10.1515/JGT.2010.051zbMath1242.20033OpenAlexW2008777106MaRDI QIDQ3174586

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Publication date: 17 October 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.051

zbMATH Keywords

HNN extensionsfully residually free groupsLyndon equation

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) Groups acting on trees (20E08) Algebraic geometry over groups; equations over groups (20F70)

Related Items (1)

A note on Lyndon properties in one-relator groups.

Cites Work

• The equation \(a_ M=b^ Nc^ P\) in a free group
• A classification of fully residually free groups of rank three or less
• The equation $x^py^q=z^r$ and groups that act freely on $Łambda $-trees
• Some free actions on non-archimedean trees

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