Statistically characterized subgroups related to some non-arithmetic sequence of integers
Group Theory
2024-09-04 v2 General Topology
Abstract
Recently, in Das et al. (Mediterr. J. Math. 21 : 164, 2024), characterized subgroups are investigated for some special kind of non-arithmetic sequences. In this note, we study subsequent problems in case of ``statistically characterized subgroups" introduced in Dikranjan et al. (Fund. Math. 249 : 185-209, 2020). The entire investigation emphasizes that these statistically characterized subgroups are mostly larger in size, having cardinality , and exhibit behavior that significantly differs from that of classically characterized subgroups. As a consequence, we solve an open problem raised in Dikranjan et al. (Fund. Math. 249 : 185-209, 2020).
Cite
@article{arxiv.2404.15905,
title = {Statistically characterized subgroups related to some non-arithmetic sequence of integers},
author = {Pratulananda Das and Ayan Ghosh},
journal= {arXiv preprint arXiv:2404.15905},
year = {2024}
}