%0 Journal Article
%T Kurosh rank of intersections of subgroups of free products of orderable groups
%A Yago Antol¨ªn
%A Armando Martino
%A Inga Schwabrow
%J Mathematics
%D 2011
%I arXiv
%X We prove that the reduced Kurosh rank of the intersection of two subgroups $H$ and $K$ of a free product of right-orderable groups is bounded above by the product of the reduced Kurosh ranks of $H$ and $K$. In particular, taking the fundamental group of a graph of groups with trivial vertex and edge groups, and its Bass-Serre tree, our Theorem becomes the desired inequality of the usual Strengthened Hanna Neumann conjecture for free groups.
%U http://arxiv.org/abs/1109.0233v3