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arXiv 2209.00705math.GR
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具有大Chermak-Delgado格的有限群

Finite groups with large Chermak-Delgado lattices

Georgiana Fasolă, Marius Tărnăuceanu

摘要:

给定一个有限群$G$,我们用$L(G)$表示$G$的子群格,用${\cal CD}(G)$表示$G$的Chermak-Delgado格。本文确定了有限群$G$使得$|{\cal CD}(G)|=|L(G)|-k$,$k=1,2$ .

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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