Grothendieck's problems concerning profinite completions and representations of groups

In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely presented, residually finite groups, and let u : Γ1 → Γ2 be a homomorphism such that the induced map of profinite completions û: Γ̂1 → Γ̂2 is an isomorphism; does it follow that u is an isomorphism? In this pap...

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Bibliographic Details
Main Authors: Bridson, M, Grunewald, F
Format: Journal article
Language:English
Published: 2004