Product of two groups integers modulo m,n and their factor groups using python

作     者：Samsul Arifin Indra Bayu Muktyas Klara Iswara Sukmawati 

作者机构：Mathematics Department School of Computer Science Bina Nusantara University Jakarta 11480 Indonesia Mathematics Education Department STKIP Surya Tangerang 15115 Indonesia 

出 版 物：《Journal of Physics: Conference Series》 

年 卷 期：2021年第1778卷第1期

学科分类：07[理学] 0702[理学-物理学] 

摘      要：We all know that (Zm×Zn,+) is a group under addition modulo m and n. Recall that a cyclic subgroup is a subgroup that generated by one element in the group. We can get the group factor of all cyclic subgroups in a group (Zm×Zn,+) since any their cyclic subgroup is normal On the other hand, Python is a programming language that is multipurpose, easy to use, and also can run on various OS like Windows, Ubuntu, or Android. Moreover, the modulo operations on groups (Zm × Zn,+) also can be calculated by Python, so we can use Python to get the factor groups off all their cyclic subgroups. In this paper, we determine the group factor in a group (Zm×Zn,+) of any cyclic subgroup using Python.