Construction of multiplicative groups in modular arithmetic

There are multiplicative groups in modular arithmetic. It is known that when n is a positive integer, the set of all positive integers less than and relative prime to n is a group under multiplication modulo n. Some authors have studied multiplicative groups in modular arithmetic, and many of these...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1872 (1), p.12009
Main Author: Purwanto
Format: Article
Language:English
Subjects:
Arithmetic
Modular construction
Multiplication
Physics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:There are multiplicative groups in modular arithmetic. It is known that when n is a positive integer, the set of all positive integers less than and relative prime to n is a group under multiplication modulo n. Some authors have studied multiplicative groups in modular arithmetic, and many of these groups have been constructed. In this paper we review some of the constructions, including constructions using elements of a geometric sequence and elements of an arithmetic sequence. Some of the constructions are extensions of the existing groups, and some others are new constructions. We also show that it is possible to find other new constructions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1872/1/012009