The Tits Alternative for Tsaranov's Generalized Tetrahedron Groups

DOI10.1515/GCC.2009.207zbMath1221.20022OpenAlexW2024541817MaRDI QIDQ5189802

Miriam Hahn, Volkmar große Rebel, Gerhard Rosenberger

Publication date: 11 March 2010

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gcc.2009.207

zbMATH Keywords

triangles of groupsTits alternativegeneralized triangle groupsgeneralized tetrahedron groupsFortsetzungssatz

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) 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)

Related Items (2)

Unnamed Item ⋮ On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations

Cites Work

• Unnamed Item
• Finite generalized tetrahedron groups with a high-power relator
• Free subgroups in linear groups
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• The Tits alternative for generalized tetrahedron groups

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