Finiteness of Abelian fundamental groups with restricted ramification

Abstract: We define a certain quotient of the étale fundamental group of a scheme which classifies étale coverings with bounded ramification along the boundary, and show the finiteness of the abelianization of this group for an arithmetic scheme. To cite this article: T. Hiranouchi, C. R. Acad. Sci. Paris, Ser. I 341 (2005). [Copyright &y& Elsevier]