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

Fasolă, Georgiana, Tărnăuceanu, Marius

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 $|{\cal CD}(G)|=|L(G)|-k$, $k=1,2$.

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