Carl-Friedrich Boedigheimer

Abstract: A simplicial set G = G_0, G_1, .... is called a pseudo-simplicial group, if all G_n are groups. Furthermore, we want to assume that these groups have a norm, not increased by the face maps. The geometric realization of G is then a filtered space and we want to study its strata in certain cases: it turns out that for the symmetric groups resp. their wreath products with Z/2 these strata decompose into modli spaces of orientable resp. non-orientable surfaces.