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A dependence theorem for free groups

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If you have a question about this talk, please contact Maurice Chiodo.

Lyndon’s theorem that a commutator in a free group is not a proper power, Magnus’ Freiheitssatz, Wise’s W-cycles conjecture, Stallings’ theorem that injections of free groups inducing injections on abelianization are injective on the set of conjugacy classes, and Baumslag’s theorem on adjoining roots to subgroups of free groups, are all special cases of a single dependence theorem. The simplest new case covered resembles the Borromean rings. As a corollary there is a new family of one-relator groups without Baumslag-Solitar subgroups. This is joint work with Henry Wilton.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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