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group theory

/ɡruːp ˈθɪəri/

Traducción: Rama de las matemáticas que estudia las estructuras algebraicas conocidas como grupos, formadas por un conjunto de elementos con una operación que satisface cuatro propiedades fundamentales: cerradura, asociatividad, existencia de elemento neutro e invertibilidad.

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phrase

/ɡruːp ˈθɪəri/C1formalscientific
  • esRama de las matemáticas que estudia las estructuras algebraicas conocidas como grupos, formadas por un conjunto de elementos con una operación que satisface cuatro propiedades fundamentales: cerradura, asociatividad, existencia de elemento neutro e invertibilidad.

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.

    esteoría de grupos

    • 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.