Counting certain sublattices in the subgroup lattice of a finite abelian group
Marius Tărnăuceanu, Dan Gregorian Fodor · Annals of the University of Craiova Mathematics and Computer Science Series · 2013
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.