FUZZY SUBGROUPS OF THE DIRECT PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP OF ANY ODD ORDER

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OH JU MOK

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Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:5 Page(s): 97-112

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Information Journal Paper

Title

FUZZY SUBGROUPS OF THE DIRECT PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP OF ANY ODD ORDER

Author(s)

OH JU MOK | Issue Writer Certificate

Keywords

GENERALIZED QUATERNION GROUPQ2

HAMILTONIAN GROUPQ2

FUZZY SUBGROUPSQ2

SUBGROUP CHAINQ2

GENERATING FUNCTIONQ2

Abstract

Bentea and Tarnauceanu (An. Stiint. Univ. Al. I. Cuza Ias, Ser. Noua, Mat., 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 Q8´Zn where Q8 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.

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APA: Copy

OH, JU MOK. (2013). FUZZY SUBGROUPS OF THE DIRECT PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP OF ANY ODD ORDER. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(5), 97-112. SID. https://sid.ir/paper/113334/en

Vancouver: Copy

OH JU MOK. FUZZY SUBGROUPS OF THE DIRECT PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP OF ANY ODD ORDER. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(5):97-112. Available from: https://sid.ir/paper/113334/en

IEEE: Copy

JU MOK OH, “FUZZY SUBGROUPS OF THE DIRECT PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP OF ANY ODD ORDER,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 5, pp. 97–112, 2013, [Online]. Available: https://sid.ir/paper/113334/en

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