Subgroup theorem for valuated groups and the CSA property.

DOI10.1016/j.jalgebra.2010.02.036zbMath1205.20035arXiv0804.2709OpenAlexW2125034025MaRDI QIDQ986061

Abderezak Ould Houcine

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/0804.2709

zbMATH Keywords

free productscentralizersHNN-extensionscombinatorial group theoryGrushko-Neumann theoremsubgroup theoremsvaluated groups with normal forms

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Cites Work

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• Existentially closed CSA-groups.
• Satisfaction of existential theories in finitely presented groups and some embedding theorems.
• \(\exists\)-free groups
• Length Functions and Free Products with Amalgamation of Groups
• On Length Functions and Nielsen Methods in Free Groups
• Abstract length functions in groups
• An Example of an Integer-Valued Length Function on a Group
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
• Equations in free groups with one variable. I
• CSA-groups and separated free constructions
• Length Functions in Groups.

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