finite groups
[ˈfɪn.ɪt ɡruːps]
nounpl: finite groups
grupos finitos
1. In mathematics, specifically in group theory, a group with a finite number of elements (order)
The symmetric group S₃ is an example of a finite group with 6 elements.
O grupo simétrico S₃ é um exemplo de grupo finito com 6 elementos.
2. Mathematical structures studied in abstract algebra where the group has a well-defined composition operation and contains only finitely many members
Finite groups are fundamental objects in abstract algebra and have applications in cryptography and physics.
Grupos finitos são objetos fundamentais da álgebra abstrata e têm aplicações em criptografia e física.
This is specialized mathematical terminology used uniformly across Portuguese-speaking academic communities. The term 'finite groups' is essential in university mathematics curricula, particularly in courses on abstract algebra and group theory. There are no regional or colloquial variations of this term, as it maintains its precise technical definition across all Portuguese-speaking regions and educational systems.
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