10 citations · 42 across the 12 of their papers we have counts for
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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★ 8 cited
Quasi-convex sequences in the circle and the 3-adic integers
Dikran Dikranjan, Gábor Lukács
In this paper, we present families of quasi-convex sequences converging to zero in the circle group T, and the group J_3 of 3-adic integers. These sequences are determined by an in…