Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups

Oscar Ocampo

Let $n\ge 3$. In this paper we show that for any finite abelian subgroup $G$ of $S_n$ the crystallographic group $B_n/[P_n,P_n]$ has Bieberbach subgroups ${\Gamma }_G$ with holonomy gro…