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group theory

/ɡruːp ˈθɪəri/

Traduction: Branche des mathématiques qui étudie les structures algébriques appelées groupes, consistant en un ensemble d'éléments muni d'une opération satisfaisant quatre propriétés fondamentales : fermeture, associativité, existence d'un élément neutre et inversibilité.

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/ɡruːp ˈθɪəri/C1formalscientific
  • frBranche des mathématiques qui étudie les structures algébriques appelées groupes, consistant en un ensemble d'éléments muni d'une opération satisfaisant quatre propriétés fondamentales : fermeture, associativité, existence d'un élément neutre et inversibilité.

A branch of mathematics that studies algebraic structures known as groups, which consist of a set of elements combined with an operation that satisfies four fundamental properties: closure, associativity, identity, and invertibility.

  1. C2formal

    A branch of mathematics that studies the algebraic structures known as groups, which consist of a set equipped with an operation that combines any two elements to form a third element while satisfying four conditions: closure, associativity, identity, and invertibility.

    frThéorie des groupes

    • Group theory is fundamental to understanding symmetry in mathematics and physics.
    • The student wrote a thesis on the applications of group theory in quantum mechanics.
    • Group theory helps classify different types of crystals based on their symmetry.