论文标题
有限组与有限的nilpotent组相同的有限组
Finite groups with the same join graph as a finite nilpotent group
论文作者
论文摘要
给定有限的$ g，$我们用$δ（g）$表示，其顶点是$ g $的适当子组，其中两个顶点$ h $和$ k $在且仅在$ g = \ g = \ langle h，k \ rangle时才被边缘加入。 $ g $是超溶的。
Given a finite group $G,$ we denote by $Δ(G)$ the graph whose vertices are the proper subgroups of $G$ and in which two vertices $H$ and $K$ are joined by an edge if and only if $G=\langle H,K\rangle.$ We prove that if there exists a finite nilpotent group $X$ with $Δ(G)\cong Δ(X),$ then $G$ is supersoluble.
