The number of fuzzy subgroups of finite cyclic groups and Delannoy numbers

Authors:
Marius Trnuceanu
Affiliations:
Faculty of Mathematics, "Al.I. Cuza" University, Iaşi, Romania
Venue:
European Journal of Combinatorics
Year:
2009

Citing 2
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Abstract

The main goal of this note is to establish a connection between the fuzzy subgroups of a finite cyclic group with k direct factors and the lattice paths of Z^k. This leads us to an explicit formula for the well-known central Delannoy numbers.