Cyclic Subgroup Graph of a Group
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913511755481088 |
|---|---|
| author | Sharma, Khyati Reddy, A. Satyanarayana |
| author_facet | Sharma, Khyati Reddy, A. Satyanarayana |
| contents | A cyclic subgroup graph of a group $G$ is a graph whose vertices are cyclic subgroups of $G$ and two distinct vertices $H_1$ and $H_2$ are adjacent if $H_1\leq H_2$, and there is no subgroup $K$ such that $H_1<K<H_2$. M.Tărnăuceanu gave the formula to count the number of edges of these graphs. In this paper, we explore various properties of these graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13796 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cyclic Subgroup Graph of a Group Sharma, Khyati Reddy, A. Satyanarayana Group Theory Combinatorics 05C25, 20D60, and 20E28 A cyclic subgroup graph of a group $G$ is a graph whose vertices are cyclic subgroups of $G$ and two distinct vertices $H_1$ and $H_2$ are adjacent if $H_1\leq H_2$, and there is no subgroup $K$ such that $H_1<K<H_2$. M.Tărnăuceanu gave the formula to count the number of edges of these graphs. In this paper, we explore various properties of these graphs. |
| title | Cyclic Subgroup Graph of a Group |
| topic | Group Theory Combinatorics 05C25, 20D60, and 20E28 |
| url | https://arxiv.org/abs/2409.13796 |