论文标题
$ \ mathrm {psu} _3（q）$的立方图形规则表示
Cubic Graphical Regular Representations of $\mathrm{PSU}_3(q)$
论文作者
论文摘要
$ g $组的图形常规表示（GRR）是$ g $的开纱图，其完整的自动形态组等于$ g $的正确常规置换表示。为了证明只有有限许多有限简单组没有立方GRR的猜想，本文表明$ \ mathrm {psu} _3（q）$在且仅当$ q \ geq4 $时才具有立方GRR。此外，为每个$ q $中的每一个都构建了$ \ mathrm {psu} _3（q）$的立方GRR。
A graphical regular representation (GRR) of a group $G$ is a Cayley graph of $G$ whose full automorphism group is equal to the right regular permutation representation of $G$. Towards a proof of the conjecture that only finitely many finite simple groups have no cubic GRR, this paper shows that $\mathrm{PSU}_3(q)$ has a cubic GRR if and only if $q\geq4$. Moreover, a cubic GRR of $\mathrm{PSU}_3(q)$ is constructed for each of these $q$.
