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...
Hlavní autoři: | Nikolov, N, Segal, D |
---|---|
Médium: | Journal article |
Jazyk: | English |
Vydáno: |
2007
|
Podobné jednotky
-
Cartesian products as profinite completions
Autor: Kassabov, M, a další
Vydáno: (2006) -
Constructing uncountably many groups with the same profinite completion
Autor: Nikolov, N, a další
Vydáno: (2021) -
On finitely generated profinite groups I: strong completeness and
uniform bounds
Autor: Nikolov, N, a další
Vydáno: (2006) -
On finitely generated profinite groups II, products in quasisimple
groups
Autor: Nikolov, N, a další
Vydáno: (2006) -
Finite index subgroups in profinite groups
Autor: Nikolov, N, a další
Vydáno: (2003)