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Oh, Ju-Mok. (1392). Fuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order. نشریه علمی دانشگاه سیستان و بلوچستان, 10(5), 97-112. doi: 10.22111/ijfs.2013.1209
Ju-Mok Oh. "Fuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order". نشریه علمی دانشگاه سیستان و بلوچستان, 10, 5, 1392, 97-112. doi: 10.22111/ijfs.2013.1209
Oh, Ju-Mok. (1392). 'Fuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order', نشریه علمی دانشگاه سیستان و بلوچستان, 10(5), pp. 97-112. doi: 10.22111/ijfs.2013.1209
Oh, Ju-Mok. Fuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order. نشریه علمی دانشگاه سیستان و بلوچستان, 1392; 10(5): 97-112. doi: 10.22111/ijfs.2013.1209

Fuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order

Iranian Journal of Fuzzy Systems
مقاله 7، دوره 10، شماره 5، دی 2013، صفحه 97-112    اصل مقاله (352.65 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1209
نویسنده
Ju-Mok Oh*
Department of Mathematics, Gangneung-Wonju National University, 7, Jukheon-gil, Gangneung-si, Gangwon-do 210-702, Republic of Korea
چکیده
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 the
number of fuzzy subgroups of a finite hamiltonian group of type
$Q_8\times \mathbb{Z}_n$ where $Q_8$ is the quaternion group of
order $8$ and $n$ is an arbitrary odd integer. In this paper we
consider more general group: the direct product of a generalized
quaternion group of any even order and a cyclic group of any odd
order. For this group we give an explicit formula for the number of
fuzzy subgroups.
کلیدواژه‌ها
Generalized quaternion group؛ Hamiltonian group؛ Fuzzy subgroups؛ Subgroup chain؛ Generating function
مراجع
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