The number of Fuzzy subgroups of some non-abelian groups

نویسندگان
Darabi, H. ID 1
Farrokhi D. G., M. ID 2
Saeedi, F. ID 3

1 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

2 Department of Pure Mathematics, Ferdowsi University of Mash- had, Mashhad, Iran

3 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

doi
10.22111/ijfs.2013.1333
چکیده

In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are givenfor dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.

کلیدواژه‌ها
Fuzzy subgroup, Dihedral group, Generalized quaternion group, Quasi-dihedral $2$-group, Modular $p$-group