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Original Articles

Platonic Triangles of Groups

Pages 191-219 | Published online: 03 Apr 2012
 

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 torsionfree, contain a free abelian subgroup of rank 2, are residually finite or are linear.

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