%0 Journal Article
%T Compact Polygons
%A Linus Kramer
%J Mathematics
%D 2001
%I arXiv
%X We develop the basic topological properties of compact polygons, i.e. of compact topological Tits buildings of rank two. It is proved that the Coxeter diagram of such a building is always crystallographic, that is, compact connected n-gons exist only for n=3,4,6. We classify compact polygons which admit a transitive group action, showing that such a polygon is Moufang and thus related to a real Lie group of rank 2.
%U http://arxiv.org/abs/math/0104064v1