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

Autor:	Klara Iswara Sukmawati, Samsul Arifin, Indra Bayu Muktyas
Rok vydání:	2021
Předmět:	History Group factor Group (mathematics) Modulo Python (programming language) Computer Science Applications Education Combinatorics Factor (programming language) Product (mathematics) Element (category theory) computer computer.programming_language Mathematics
Zdroj:	Journal of Physics: Conference Series. 1778:012026
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/1778/1/012026
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9370da93c9250f2f0db2d02a09b62a5b https://doi.org/10.1088/1742-6596/1778/1/012026 Zobrazit plný text záznamu