A note on characterized and statistically characterized subgroups of $\mathbb{T}=\mathbb{R}/\mathbb{Z}$

Fuente: arXiv
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Autore principale: Weber, Hans
Natura: Preprint
Pubblicazione: 2025
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author Weber, Hans
author_facet Weber, Hans
contents P. Das, A. Ghosh and T. Aziz has given in \cite[Theorem 3.15]{ADG} a result on statistically characterized subgroups of the circle group $\mathbb{R}/\mathbb{Z}$, which answers, together with \cite[Corollary 2.4]{DG24}, questions of \cite{DDB} and \cite{DG25}. Here we give a completely different and much shorter proof of these results.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05487
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on characterized and statistically characterized subgroups of $\mathbb{T}=\mathbb{R}/\mathbb{Z}$
Weber, Hans
Group Theory
P. Das, A. Ghosh and T. Aziz has given in \cite[Theorem 3.15]{ADG} a result on statistically characterized subgroups of the circle group $\mathbb{R}/\mathbb{Z}$, which answers, together with \cite[Corollary 2.4]{DG24}, questions of \cite{DDB} and \cite{DG25}. Here we give a completely different and much shorter proof of these results.
title A note on characterized and statistically characterized subgroups of $\mathbb{T}=\mathbb{R}/\mathbb{Z}$
topic Group Theory
url https://arxiv.org/abs/2504.05487