A note on characterized and statistically characterized subgroups of ๐•‹ = โ„/โ„ค

Abstract Recently, P. Das, A. Ghosh and T. Aziz have given a criterion for statistically characterized subgroups of the circle group โ„/โ„ค to be torsion. Here we give a completely different and much shorter proof of this result. Moreover, we give for a characterized subgroup of โ„/โ„ค a sufficient condition to be torsion, unifying and generalizing earlier results.

Authors

Institutions

Publication Details

Journal
Mathematica Slovaca
Published
2025-12-01
DOI
https://doi.org/10.1515/ms-2025-0095
Primary Topic
Advanced Operator Algebra Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A note on characterized and statistically characterized subgroups of ๐•‹ = โ„/โ„ค

Hans Weber
Mathematica Slovaca
Advanced Operator Algebra Research
article

A note on characterized and statistically characterized subgroups of ๐•‹ = โ„/โ„ค

Hans Weber
article en

Abstract

Abstract Recently, P. Das, A. Ghosh and T. Aziz have given a criterion for statistically characterized subgroups of the circle group โ„/โ„ค to be torsion. Here we give a completely different and much shorter proof of this result. Moreover, we give for a characterized subgroup of โ„/โ„ค a sufficient condition to be torsion, unifying and generalizing earlier results.

Mathematica SlovacaVol. 75(6)
University of Udine (IT)
Openalex Percentile: Top 56%
Advanced Operator Algebra Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A note on characterized and statistically characterized subgroups of ๐•‹ = โ„/โ„ค โ€” Hans Weber ยท Mathematica Slovaca (2025) | TGRS Research Map | TGRS