Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.04794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916239099559936 |
|---|---|
| author | Mahmoud, Aban S. |
| author_facet | Mahmoud, Aban S. |
| contents | Much progress has been made on the problem of calculating $g(n)$ for various classes of integers $n$, where $g$ is the group-counting function. We approach the inverse problem of solving the equations $g(n) = 6$ and $g(n) = 7$ in $n$. The determination of $n$ for which $g(n) = k$ has been carried out by G. A. Miller for $1 \le k \le 5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04794 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orders for which there exist exactly six or seven groups Mahmoud, Aban S. Group Theory Combinatorics 20D60, 05C69 Much progress has been made on the problem of calculating $g(n)$ for various classes of integers $n$, where $g$ is the group-counting function. We approach the inverse problem of solving the equations $g(n) = 6$ and $g(n) = 7$ in $n$. The determination of $n$ for which $g(n) = k$ has been carried out by G. A. Miller for $1 \le k \le 5$. |
| title | Orders for which there exist exactly six or seven groups |
| topic | Group Theory Combinatorics 20D60, 05C69 |
| url | https://arxiv.org/abs/2405.04794 |