<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

On the number of diamonds in the subgroup lattice of a finite abelian group

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the number of diamonds in the subgroup lattice of a finite abelian group"}

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...

On the number of diamonds in the subgroup lattice of a finite abelian group

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
abelian group, subgroup lattice, diamond lattice, section, L-free group

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the number of diamonds in the subgroup lattice of a finite abelian group

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 clésabelian group, subgroup lattice, diamond lattice, section, L-free group

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
abelian group, subgroup lattice, diamond lattice, section, L-free group