On singular equations over torsion-free groups

2020/01/21 by Edjvet, Martin, Howie, James · 1 citation
#20F05. Secondary 20E06 #20F06 #FOS: Mathematics #Group Theory (math.GR) #Primary 20F70

paper · doi:10.48550/arxiv.2001.07634

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.

Cited by

• Unimodular equations which do not preserve the derived length of a group

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