Statistically characterized subgroups related to arithmetic-type sequence of integers
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918505893330944 |
|---|---|
| author | Das, Pratulananda Ghosh, Ayan Aziz, Tamim |
| author_facet | Das, Pratulananda Ghosh, Ayan Aziz, Tamim |
| contents | Very recently, in [Das et al., J. Lond. Math. Soc., 2025], statistically characterized subgroups were studied for certain classes of non-arithmetic sequences. Subsequently, in [Das et al., Bull. Sci. Math., 2025], characterized subgroups were investigated for a class of arithmetic-type sequences that includes both arithmetic sequences and certain non-arithmetic sequences. Motivated by these developments, we study statistically characterized subgroups associated with a broader class of arithmetic-type sequences. In particular, all previously obtained cardinality related observations for statistically characterized subgroups corresponding to arithmetic sequences as well as certain non-arithmetic sequences follow as special cases of our results. Moreover, we show that this broader class exhibits drastically different behavior and differs significantly from the previously studied special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16577 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Statistically characterized subgroups related to arithmetic-type sequence of integers Das, Pratulananda Ghosh, Ayan Aziz, Tamim Group Theory Primary: 22B05, Secondary: 11B05, 40A05 Very recently, in [Das et al., J. Lond. Math. Soc., 2025], statistically characterized subgroups were studied for certain classes of non-arithmetic sequences. Subsequently, in [Das et al., Bull. Sci. Math., 2025], characterized subgroups were investigated for a class of arithmetic-type sequences that includes both arithmetic sequences and certain non-arithmetic sequences. Motivated by these developments, we study statistically characterized subgroups associated with a broader class of arithmetic-type sequences. In particular, all previously obtained cardinality related observations for statistically characterized subgroups corresponding to arithmetic sequences as well as certain non-arithmetic sequences follow as special cases of our results. Moreover, we show that this broader class exhibits drastically different behavior and differs significantly from the previously studied special cases. |
| title | Statistically characterized subgroups related to arithmetic-type sequence of integers |
| topic | Group Theory Primary: 22B05, Secondary: 11B05, 40A05 |
| url | https://arxiv.org/abs/2605.16577 |