Platonic triangles of groups
Alperin, Roger C.
Experiment. Math., Tome 7 (1998) no. 4, p. 191-219 / Harvested from Project Euclid
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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.
Publié le : 1998-05-14
Classification:  Triangle of groups,  Coxeter group,  FA,  cohomological dimension,  20F65,  20F55,  20F67 
@article{1047674204,
     author = {Alperin, Roger C.},
     title = {Platonic triangles of groups},
     journal = {Experiment. Math.},
     volume = {7},
     number = {4},
     year = {1998},
     pages = { 191-219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047674204}
}

Alperin, Roger C. Platonic triangles of groups. Experiment. Math., Tome 7 (1998) no. 4, pp.  191-219. http://gdmltest.u-ga.fr/item/1047674204/