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Profinite rigidity among free-by-(finite cyclic) groups

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If you have a question about this talk, please contact Alexis Marchand.

Distinguishing groups by their finite quotients (i.e. profinite rigidity) has been an active area of research. In the talk, I will explain a recent result in this spirit concerning groups with a f.g. free normal subgroup giving a finite cyclic quotient. The proof relies a lot on Bass-Serre theory. The result also implies that free-by-cyclic groups defined by automorphisms which have finite order in Out(Fn) are distinguished (up to isomorphism) by their finite quotients. This is joint work with Martin Bridson.

This talk is part of the Junior Geometry Seminar series.

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