A Note on the Number of Fuzzy Subgroups of Finite Groups∗
نویسندگان
چکیده
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. Mathematics Subject Classification 2000: Primary 20N25, 03E72; Secondary 20K01, 15A63, 20D15.
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