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

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

2009-05-17

arxiv.org/abs/0905.2713v3

Mathematics

Group Theory

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

Scientific paper

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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