@article {
author = {Oh, Ju-Mok},
title = {Fuzzy subgroups of the direct product of a
generalized quaternion group and a cyclic group of any odd order},
journal = {Iranian Journal of Fuzzy Systems},
volume = {10},
number = {5},
pages = {97-112},
year = {2013},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2013.1209},
abstract = {Bentea and T\u{a}rn\u{a}uceanu~(An. \c{S}tiin\c{t}. Univ. Al. I.Cuza Ia\c{s}, Ser. Nou\v{a}, Mat., {\bf 54(1)} (2008), 209-220)proposed the following problem: Find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$Q_8\times \mathbb{Z}_n$ where $Q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. In this paper weconsider more general group: the direct product of a generalizedquaternion group of any even order and a cyclic group of any oddorder. For this group we give an explicit formula for the number offuzzy subgroups.},
keywords = {Generalized quaternion group,Hamiltonian group,Fuzzy subgroups,Subgroup chain,Generating function},
url = {https://ijfs.usb.ac.ir/article_1209.html},
eprint = {https://ijfs.usb.ac.ir/article_1209_cdbaf63e2edeaa408c76ce2aa3691e62.pdf}
}