论文标题
Z组的循环图
The Cyclic Graph of a Z-group
论文作者
论文摘要
For a group $G$, we define a graph $Δ(G)$ by letting $G^{\#} = G \setminus \{ 1 \}$ be the set of vertices and by drawing an edge between distinct elements $x,y\in G^{\#}$ if and only if the subgroup $\langle x,y\rangle$ is cyclic.回想一下，$ z $ - 组是每个Sylow子组循环的组。在此简短说明中，我们调查了$ z $ -group $ g $的$δ（g）$。
For a group $G$, we define a graph $Δ(G)$ by letting $G^{\#} = G \setminus \{ 1 \}$ be the set of vertices and by drawing an edge between distinct elements $x,y\in G^{\#}$ if and only if the subgroup $\langle x,y\rangle$ is cyclic. Recall that a $Z$-group is a group where every Sylow subgroup is cyclic. In this short note, we investigate $Δ(G)$ for a $Z$-group $G$.
