The commuting graph and a graph associated with centralizers
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_ | 1866918202455359488 |
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| author | Lewis, Mark L. McCulloch, Ryan |
| author_facet | Lewis, Mark L. McCulloch, Ryan |
| contents | Let $G$ be a $p$-group. We begin to consider the relationship between the structure of the commuting graph and $|G:Z(G)|$. We also build a family of groups whose commuting graphs have more than one connected component whose diameter is at least $2$. For this, we introduce another graph related to the commuting graph that is associated with centralizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The commuting graph and a graph associated with centralizers Lewis, Mark L. McCulloch, Ryan Group Theory Primary 20D15, Secondary 05C25 Let $G$ be a $p$-group. We begin to consider the relationship between the structure of the commuting graph and $|G:Z(G)|$. We also build a family of groups whose commuting graphs have more than one connected component whose diameter is at least $2$. For this, we introduce another graph related to the commuting graph that is associated with centralizers. |
| title | The commuting graph and a graph associated with centralizers |
| topic | Group Theory Primary 20D15, Secondary 05C25 |
| url | https://arxiv.org/abs/2511.11926 |