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Ana Diana Silvana Bimolo
Universitas Timor
Computer Science & IT Decision Sciences, Operations Research & Management Education Health Professions Immunology & microbiology

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KLASIFIKASI KELAS KONJUGASI GRUP PERMUTASI PADA n UNSUR (S_n) Ana Diana Silvana Bimolo; Nugraha K. F. Dethan; Fitriani
Journal of Mathematics Theory and Applications Vol. 3 No. 1 (2024): Edisi Oktober 2024
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v3i1.7946

Abstract

Conjugate classes partition the members of a group into mutually exclusive subsets, which can be used to classify the group. For example, conjugate classes can be used to show that two groups are not isomorphic. In this study the author will classify the conjugation class of the permutation group elements . This research uses a literature study method where the author studies the properties, theorems related to conjugation classes and permutation groups. The results obtained from this research are that the conjugation class of a permutation in is determined by its cycle type, namely the partition of with these conjugation classes, namely conjugation classes containing permutations in that have the same cycle type. The number of conjugation classes is equal to the number of cycle types in . Keywords: permutation group, conjugation class.
Co-Authors Fitriani Nugraha K. F. Dethan