ON THE LOCAL-INDICABILITY COHEN–LYNDON THEOREM

DOI10.1017/S0017089511000231zbMath1253.20021arXiv1002.1934MaRDI QIDQ3094648

Peter A. Linnell, Warren Dicks, Yago Antolín

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1934

zbMATH Keywords

free productslocally indicable groupsnormal closuresBass-Serre theoryfree generating setsCohen-Lyndon aspherical elementscyclically reduced elementsWhitehead subsets

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) Local properties of groups (20E25) Groups acting on trees (20E08)

Related Items (1)

On the classifying space for proper actions of groups with cyclic torsion

Cites Work

• A spelling theorem for staggered generalized 2-complexes, with applications
• Equations over groups, and groups with one defining relation
• A Cohen-Lyndon theorem for free products of locally indicable groups
• Aspherical group presentations
• On locally indicable groups
• A short proof of a theorem of Brodskiĭ
• Non-orientable surface-plus-one-relation groups.
• Cohomology theory of groups with a single defining relation
• Cohomology of One-Relator Products of Locally Indicable Groups
• On pairs of 2-complexes and systems of equations over groups.
• On a Theorem of Cohen and Lyndon About Free Bases for Normal Subgroups

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