Cartesian products as profinite completions
We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions.
Asıl Yazarlar: | Kassabov, M, Nikolov, N |
---|---|
Materyal Türü: | Journal article |
Dil: | English |
Baskı/Yayın Bilgisi: |
2006
|
Benzer Materyaller
-
Direct products and profinite completions
Yazar:: Nikolov, N, ve diğerleri
Baskı/Yayın Bilgisi: (2007) -
Groups of profinite type and profinite rigidity
Yazar:: Bar-On, T, ve diğerleri
Baskı/Yayın Bilgisi: (2024) -
Constructing uncountably many groups with the same profinite completion
Yazar:: Nikolov, N, ve diğerleri
Baskı/Yayın Bilgisi: (2021) -
Strange images of profinite groups
Yazar:: Nikolov, N
Baskı/Yayın Bilgisi: (2011) -
Algebraic properties of profinite groups
Yazar:: Nikolov, N
Baskı/Yayın Bilgisi: (2011)