Open AccessProduct of two groups integers modulo m,n and their factor groups using python
Author(s) -
Samsul Arifin,
Indra Bayu Muktyas,
Klara Iswara Sukmawati
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1778/1/012026
Subject(s) - python (programming language) , modulo , combinatorics , mathematics , cyclic group , discrete mathematics , computer science , abelian group , programming language
We all know that (Z m ×Z n ,+) 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 (Z m ×Z n ,+) 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 (Z m × Z n ,+) 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 (Z m ×Z n ,+) of any cyclic subgroup using Python.