On the number of diamonds in the subgroup lattice of a finite abelian group
und | 21. Sept. 2017
Über diesen Artikel
Online veröffentlicht: 21. Sept. 2017
Seitenbereich: 205 - 215
Eingereicht: 09. Feb. 2015
Akzeptiert: 02. März 2015
DOI: https://doi.org/10.1515/auom-2016-0037
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© 2017
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The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.