A note on the number of fuzzy subgroups of finite groups∗

Abstract. In the paper [9] an explicit formula for the number of fuzzy subgroups of a finite cyclic group G is indicated. In the case when |G | has exactly two prime factors, a quadratic form can be associated. We prove that this quadratic form is positive definite. We also count the number of fuzzy subgroups for a particular class of finite hamiltonian groups