On the Structure of Maximally Almost Periodic Groups.
نویسندگان
چکیده
منابع مشابه
Characterization of almost maximally almost-periodic groups
Let G be an abelian group. We prove that a group G admits a Hausdorff group topology τ such that the von Neumann radical n(G, τ) of (G, τ) is non-trivial and finite iff G has a non-trivial finite subgroup. If G is a topological group, then n(n(G)) 6= n(G) if and only if n(G) is not dually embedded. In particular, n(n(Z, τ)) = n(Z, τ) for any Hausdorff group topology τ on Z. We shall write our a...
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A topological group G is said to be almost maximally almost-periodic if its von Neumann radical n(G) is non-trivial, but finite. In this paper, we prove that (a) every countably infinite abelian torsion group, (b) every abelian torsion group of cardinality greater than continuum, and (c) every (non-trivial) divisible abelian torsion group admits a (Hausdorff) almost maximally almost-periodic gr...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1968
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10914