Generalizing the enhanced power graph of a group with respect to automorphisms
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913726919081984 |
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| author | Mohammadian, Abbas Guloglu, Ismail Erfanian, Ahmad Lewis, Mark L. |
| author_facet | Mohammadian, Abbas Guloglu, Ismail Erfanian, Ahmad Lewis, Mark L. |
| contents | We generalize the enhanced power graph by replacing elements with classes under automorphisms. We show that the connectivity and diameter of this graph is similar to that of the enhanced power graph. We consider the universal vertices of this graph and when this graph is a complete graph. Finally, we classify when this graph is the empty graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalizing the enhanced power graph of a group with respect to automorphisms Mohammadian, Abbas Guloglu, Ismail Erfanian, Ahmad Lewis, Mark L. Group Theory Primary 20D45, Secondary 05C25, 20E45 We generalize the enhanced power graph by replacing elements with classes under automorphisms. We show that the connectivity and diameter of this graph is similar to that of the enhanced power graph. We consider the universal vertices of this graph and when this graph is a complete graph. Finally, we classify when this graph is the empty graph. |
| title | Generalizing the enhanced power graph of a group with respect to automorphisms |
| topic | Group Theory Primary 20D45, Secondary 05C25, 20E45 |
| url | https://arxiv.org/abs/2502.15967 |