Baumslag-Solitar relations in abstract commensurators of free groups

preprint2020arXivOpen access

Abstract

Any non-residually finite Baumslag-Solitar group has a non-residually finite image in the abstract commensuration of a nonabelian free group. This gives a new proof (avoiding Britton's Lemma) of the classification of residually finite Baumslag-Solitar groups.

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