Characterization of SL(2,q) by its non-commuting graph
| dc.creator | Abdollahi, Alireza | |
| dc.date | 2008-08-04 | |
| dc.date.accessioned | 2026-07-07T09:54:31Z | |
| dc.date.available | 2026-07-07T09:54:31Z | |
| dc.description | Let $G$ be a non-abelian group and $Z(G)$ be its center. The non-commuting graph $\mathcal{A}_G$ of $G$ is the graph whose vertex set is $G\backslash Z(G)$ and two vertices are joined by an edge if they do not commute. Let $\mathrm{SL}(2,q)$ be the special linear group of degree 2 over the finite field of order $q$. In this paper we prove that if $G$ is a group such that $\mathcal{A}_G\cong \mathcal{A}_{\mathrm{SL}(2,q)}$ for some prime power $q\geq 2$, then $G\cong \mathrm{SL}(2,q)$. | |
| dc.description | 5 pages. to appear in Beitrage zur Algebra und Geometrie | |
| dc.identifier | https://arxiv.org/abs/0808.0377 | |
| dc.identifier | http://arxiv.org/abs/0808.0377 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166344 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20D60 | |
| dc.title | Characterization of SL(2,q) by its non-commuting graph | |
| dc.type | text |