论文标题
具有大的Chermak-Delgado格子的有限群体
Finite groups with large Chermak-Delgado lattices
论文作者
论文摘要
给定一个有限的$ g $,我们用$ l(g)$表示$ g $的子组晶格,$ {\ cal cd}(g)$ Chermak-delgado lattice $ g $。在本说明中,我们确定有限的$ g $,以便$ | {\ cal cd}(g)| = | l(g)| -k $,$ k = 1,2 $。
Given a finite group $G$, we denote by $L(G)$ the subgroup lattice of $G$ and by ${\cal CD}(G)$ the Chermak-Delgado lattice of $G$. In this note, we determine the finite groups $G$ such that $|{\cal CD}(G)|=|L(G)|-k$, $k=1,2$.