Finite groups and $k$-submodular subgroups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909617184833536 |
|---|---|
| author | Vasilyeva, T. I. |
| author_facet | Vasilyeva, T. I. |
| contents | For natural numbers $n$ and $k$, the concepts of $n$-modularly embedded subgroup, $k$-submodular subgroup and $k$-$\mathrm{LM}$-group are given, which generalize, respectively, the concepts of modular subgroup, submodular subgroup and $\mathrm{LM}$-group. Classes of groups with given systems of $k$-submodular subgroups are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite groups and $k$-submodular subgroups Vasilyeva, T. I. Group Theory 2010 20D10, 20E15, 20F16 For natural numbers $n$ and $k$, the concepts of $n$-modularly embedded subgroup, $k$-submodular subgroup and $k$-$\mathrm{LM}$-group are given, which generalize, respectively, the concepts of modular subgroup, submodular subgroup and $\mathrm{LM}$-group. Classes of groups with given systems of $k$-submodular subgroups are investigated. |
| title | Finite groups and $k$-submodular subgroups |
| topic | Group Theory 2010 20D10, 20E15, 20F16 |
| url | https://arxiv.org/abs/2406.04704 |