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.
Main Authors: | Kassabov, M, Nikolov, N |
---|---|
פורמט: | Journal article |
שפה: | English |
יצא לאור: |
2006
|
פריטים דומים
-
Direct products and profinite completions
מאת: Nikolov, N, et al.
יצא לאור: (2007) -
Groups of profinite type and profinite rigidity
מאת: Bar-On, T, et al.
יצא לאור: (2024) -
Constructing uncountably many groups with the same profinite completion
מאת: Nikolov, N, et al.
יצא לאור: (2021) -
Strange images of profinite groups
מאת: Nikolov, N
יצא לאור: (2011) -
Algebraic properties of profinite groups
מאת: Nikolov, N
יצא לאור: (2011)