On the number of diamonds in the subgroup lattice of a finite abelian group
et | 21 sept. 2017
À propos de cet article
Publié en ligne: 21 sept. 2017
Pages: 205 - 215
Reçu: 09 févr. 2015
Accepté: 02 mars 2015
DOI: https://doi.org/10.1515/auom-2016-0037
Mots clés
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.