Effective indices of subgroups in Baumslag--Pride groups with free quotients
Group Theory
2010-09-02 v3
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.
Keywords
Cite
@article{arxiv.0905.2713,
title = {Effective indices of subgroups in Baumslag--Pride groups with free quotients},
author = {Thomas Koberda},
journal= {arXiv preprint arXiv:0905.2713},
year = {2010}
}
Comments
5 pages. Incorporated referee's comments. Accepted to Communications in Algebra