Grothendieck’s problems concerning profinite completions and representations of groups
نویسندگان
چکیده
منابع مشابه
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 paper we settle this problem by exhibiting pairs of groups u : P ↪→ Γ such that Γ is a direct product...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2004
ISSN: 0003-486X
DOI: 10.4007/annals.2004.160.359