On the profinite rigidity of free and surface groups

Let S be either a free group or the fundamental group of a closed hyperbolic surface. We show that if G is a finitely generated residually-p group with the same pro-p completion as S, then two-generated subgroups of G are free. This generalises (and gives a new proof of) the analogous result of Baum...

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Xehetasun bibliografikoak
Egile nagusia: Morales, I
Formatua: Journal article
Hizkuntza:English
Argitaratua: Springer 2024