On singular equations over torsion-free groups

Abstract

We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at most 18 over a torsion-free group has a solution in some overgroup.

29 pages, 14 figures

Cited by in corpus (1)

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