Counting certain sublattices in the subgroup lattice of a finite abelian group

Marius Tarnauceanu, Dan Gregorian Fodor

Abstract


The main goal of the current paper is to determine the total number of convex sublattices of length 2 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.


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