Direct products and profinite completions

Let G be a finitely generated residually finite group and A a finitely generated normal subgroup. Then G and A are naturally embedded in their respective profinite completions and . The inclusion A G induces a morphism (continuous homomorphism) : , and the image of is the closure of A in . If A happ...

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Bibliographic Details
Main Authors: Nikolov, N, Segal, D
Format: Journal article
Language:English
Published: 2007