The Tits alternative for generalized tetrahedron groups

DOI10.1515/JGT.2006.012zbMath1097.20032OpenAlexW2133659753MaRDI QIDQ5471276

Natalia Viktorovna Kopteva, James Howie

Publication date: 6 June 2006

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

Full work available at URL: https://doi.org/10.1515/jgt.2006.012

zbMATH Keywords

Tits alternativespelling theoremsgeneralised triangle groupstetrahedron groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (6)

Unnamed Item ⋮ On one-relator products induced by generalized triangle groups II ⋮ On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations ⋮ The Word Problem for Pride Groups ⋮ On one-relator products induced by generalized triangle groups I ⋮ The Tits Alternative for Tsaranov's Generalized Tetrahedron Groups

Cites Work

• Unnamed Item
• On free subgroups of generalized triangle groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Finite generalized tetrahedron groups with a high-power relator
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• Free subgroups in linear groups
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• Howie diagrams and complexes of groups
• Subgroups of HNN Groups and Groups with one Defining Relation

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