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arXiv · 0905.2713

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

Thomas Koberda
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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.

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Thomas Koberda. 2009-05-17. Effective indices of subgroups in Baumslag--Pride groups with free quotients. https://arxiv.org/abs/0905.2713

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