Groups and symmetries

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Date

2024-06-06

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Mohamed Boudiaf University of M'sila, Faculty of Mathematics and Informatics, Departement of Mathematics

Abstract

Symmetry is a fundamental concept that permeates many areas of mathematics, art, science, and nature. Where, Symmetries, on the other hand, are transformations that leave an object or a system unchanged in some way. These transformations can be represented as elements of a group, and the study of symmetries is closely related to the study of groups. The work of this master’s memo will consist in studying the interplay between groups and symmetries.

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Keywords

Symmetry group, group action, distance, euclidean group

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