<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

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{"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

Publicado en línea: 21 sept 2017

Páginas: 205 - 215

Recibido: 09 feb 2015

Aceptado: 02 mar 2015

DOI: https://doi.org/10.1515/auom-2016-0037

Palabras clave
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

Publicado en línea: 21 sept 2017

Páginas: 205 - 215

Recibido: 09 feb 2015

Aceptado: 02 mar 2015

DOI: https://doi.org/10.1515/auom-2016-0037

Palabras claveabelian group, subgroup lattice, diamond lattice, section, L-free group

© 2017

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

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