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Journal : Journal of Science and Technology

Orde Subgrup Terkecil yang Memuat Suatu Himpunan dengan 2 Unsur dari Suatu Grup Hingga Siklik Rasdin Sandria; Jufra Jufra; Norma Muhtar
JOSTECH Journal of Science and Technology Vol 3, No 1: Maret 2023
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v3i1.5667

Abstract

Suppose is any group and then the smallest subgroup of containing is the intersection of all subgroups of containing and denoted by . If then , such a subgroup we know as a cyclic group with generator , such that the order of is the same as the order of . In this research, observations were made on the set in order to know the nature of the membership of and the order of for the case of order 2 and further for of order n if G is a cyclic finite group using the effect of Lagrange Theorem.