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...
Päätekijät: | , |
---|---|
Aineistotyyppi: | Journal article |
Kieli: | English |
Julkaistu: |
2007
|