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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.25901 |
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| _version_ | 1866909991817969664 |
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| author | Bryden, James Rowley, Peter |
| author_facet | Bryden, James Rowley, Peter |
| contents | Given a finite group $G$ and a conjugacy class of involutions $X$ of $G$, we define the commuting involution graph $\mathcal{C}(G,X)$ to be the graph with vertex set $X$ and $x,y \in X$ adjacent if and only if $x \neq y$ and $xy =yx$. In this paper the automorphism group of the graph $\mathcal{C}(G,X)$ is determined when $G = PSL_2(q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25901 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs Bryden, James Rowley, Peter Group Theory 20E99, 05C25 Given a finite group $G$ and a conjugacy class of involutions $X$ of $G$, we define the commuting involution graph $\mathcal{C}(G,X)$ to be the graph with vertex set $X$ and $x,y \in X$ adjacent if and only if $x \neq y$ and $xy =yx$. In this paper the automorphism group of the graph $\mathcal{C}(G,X)$ is determined when $G = PSL_2(q)$. |
| title | Automorphism Groups of the $PSL_2(q)$ Commuting Involution Graphs |
| topic | Group Theory 20E99, 05C25 |
| url | https://arxiv.org/abs/2509.25901 |