{"title":"Sebarang Pembangun Subgrup Siklik Dari Suatu Grup (Zn,+)","authors":"Indra Bayu Muktyas, Samsul Arifin","doi":"10.15642/MANTIK.2018.4.2.116-121","DOIUrl":null,"url":null,"abstract":"(Zn,+) is a group of the integer modulo n with an addition operation. A cyclic subgroup is a subgroup that is generated by one element of a group. In group (Zn,+), any cyclic subgroup can be determined through a generator which is a factor of n. The aim of this article is to get all generator of the cyclic subgroup of a group (Zn,+) using Python. The result of our study shows that by using Python, for any cyclic subgroup of (Zn,+) , we can get all their generator.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mantik Jurnal Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15642/MANTIK.2018.4.2.116-121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
(Zn,+) is a group of the integer modulo n with an addition operation. A cyclic subgroup is a subgroup that is generated by one element of a group. In group (Zn,+), any cyclic subgroup can be determined through a generator which is a factor of n. The aim of this article is to get all generator of the cyclic subgroup of a group (Zn,+) using Python. The result of our study shows that by using Python, for any cyclic subgroup of (Zn,+) , we can get all their generator.