Platonic Triangles of Groups

DOI10.1080/10586458.1998.10504369zbMath0959.20039OpenAlexW1995531225MaRDI QIDQ4227901

Roger C. Alperin

Publication date: 1 May 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674204

zbMATH Keywords

Gauss-Bonnet theoremresidually finite groupsvirtually torsion-free groupsfree Abelian subgroupsnon-positively curved triangles of finite groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

The \(\text{FA}_n\) conjecture for Coxeter groups.

Cites Work

• Polyhedral groups and graph amalgamation products
• Homology of \(\mathrm{SL}_2(\mathbb Z[\omega)\)]
• The growth of nonpositively curved triangles of groups
• Le problème des groupes de congruence pour \(SL_2\)
• The groups determined by the relations \(s^l=T^m=(S^{-1}T^{-1}ST)^p=1\). II
• Normal subgroups of 𝑃𝑆𝐿₂(𝑍[√-3)]
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