- Experiment. Math.
- Volume 7, Issue 3 (1998), 191-219.
Platonic triangles of groups
Non-positively curved triangles of finite groups are of cohomological dimension 2 over the rationals and have Property FA. We classify triangles of finite groups which satisfy certain geometric conditions including the Gauss--Bonnet theorem. We investigate whether or not these groups are virtually torsion-free, contain a free abelian subgroup of rank 2, are residually finite or are linear.
Experiment. Math., Volume 7, Issue 3 (1998), 191-219.
First available in Project Euclid: 14 March 2003
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]
Secondary: 20F55: Reflection and Coxeter groups [See also 22E40, 51F15] 20F67: Hyperbolic groups and nonpositively curved groups
Alperin, Roger C. Platonic triangles of groups. Experiment. Math. 7 (1998), no. 3, 191--219. https://projecteuclid.org/euclid.em/1047674204