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math.GN2008★ 1 cited
Locally compact abelian groups admitting non-trivial quasi-convex null sequences
Dikran Dikranjan, Gábor Lukács
In this paper, we show that for every locally compact abelian group G, the following statements are equivalent: (i) G contains no sequence {x_n} such that {0} \cup {\pm x_n : n \in…
math.GN2008★ 3 cited
Which infinite abelian groups admit an almost maximally almost-periodic group topology?
Athena P. Nguyen
A topological group G is said to be almost maximally almost-periodic if its von Neumann radical is non-trivial, but finite. In this paper, we prove that every abelian group with an…