In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

Quotes

  • Group theory is the mathematical expression of symmetry, providing appropriate mathematical tools for the implementation of symmetry considerations in theoretical physics.
  • The introduction of the digit 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps...-Alexander Grothendieck
    • R. Brown and T. Porter,Analogy, concepts and methodology, in mathematics(chapter_1) Link
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