S. Gabriyelyan

most citedGroups of quasi-invariance and the Pontryagin duality

4 citations · 7 across the 4 of their papers we have counts for

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math.GN2009

Reflexive group topologies on Abelian groups

S. S. Gabriyelyan

It is proved that any infinite Abelian group of infinite exponent admits a non-discrete reflexive group topology.

math.GN2009★ 1 cited

Characterization of almost maximally almost-periodic groups

S. S. Gabriyelyan

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 fin…

math.GN2009★ 2 cited

On $T$ -sequences and characterized subgroups

S. S. Gabriyelyan

Let $X$ be a compact metrizable abelian group and $u = {u_{n}}$ be a sequence in its dual $X^{\land}$ . Set $s_{u} (X) = {x : (u_{n}, x) \to 1}$ and $\mathbb{T}_0^H = \…

math.GN2008★ 4 cited

Groups of quasi-invariance and the Pontryagin duality

S. S. Gabriyelyan

A Polish group $G$ is called a group of quasi-invariance or a QI-group, if there exist a locally compact group $X$ and a probability measure $μ$ on $X$ such that 1) there exists a…

Reflexive group topologies on Abelian groups

Characterization of almost maximally almost-periodic groups

On T-sequences and characterized subgroups

Groups of quasi-invariance and the Pontryagin duality

On $T$ -sequences and characterized subgroups