On the number of diamonds in the subgroup lattice of a finite abelian group
and | Sep 21, 2017
About this article
Published Online: Sep 21, 2017
Page range: 205 - 215
Received: Feb 09, 2015
Accepted: Mar 02, 2015
DOI: https://doi.org/10.1515/auom-2016-0037
Keywords
© 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.