Effective indices of subgroups in Baumslag--Pride groups with free quotients

Abstract

Given a group with at least two more generators than relations, we give an effective estimate on the minimal index of a subgroup with a nonabelian free quotient. We show that the index is bounded by a polynomial in the length of the relator word. We also provide a lower bound on the index.

arXiv comment5 pages. Incorporated referee's comments. Accepted to Communications in Algebra