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

Fodor, Dan Gregorian; Tărnăuceanu, Marius

doi:10.1515/auom-2016-0037

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.

References

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

Abstract

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