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1998 Platonic triangles of groups
Roger C. Alperin
Experiment. Math. 7(3): 191-219 (1998).

Abstract

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.

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Roger C. Alperin. "Platonic triangles of groups." Experiment. Math. 7 (3) 191 - 219, 1998.

Information

Published: 1998
First available in Project Euclid: 14 March 2003

zbMATH: 0959.20039
MathSciNet: MR1676687

Subjects:
Primary: 20F65
Secondary: 20F55 , 20F67

Keywords: cohomological dimension , Coxeter group , FA , Triangle of groups

Rights: Copyright © 1998 A K Peters, Ltd.

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Vol.7 • No. 3 • 1998
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