grupos finitos

[ˈɡɾu.pos fiˈni.tos]
nounmasculinepl: grupos finitos
finite groups
1. In mathematics, specifically in group theory, sets of elements with a defined binary operation that satisfy group axioms (closure, associativity, identity element, and inverse elements) and contain a finite number of elements.
The symmetric group S₃ is one of the simplest examples of finite groups.
O grupo simétrico S₃ é um dos exemplos mais simples de grupos finitos.
2. Mathematical structures studied in abstract algebra where the group has a countable, limited number of members.
Finite groups are fundamental to understanding symmetries in chemistry and physics.
Grupos finitos são fundamentais para compreender simetrias na química e física.
This is strictly academic mathematical terminology used primarily in university-level mathematics courses, particularly in abstract algebra and group theory. It appears in Portuguese and Brazilian textbooks, research papers, and academic discourse without regional variation. The term is part of the international mathematical vocabulary used identically across Portuguese-speaking countries and English-speaking countries.
Synonyms / Sinônimos
grupos de ordem finitagrupos limitados
Antonyms / Antônimos
grupos infinitosgrupos de ordem infinita

Regional Variations

General Brazilian
grupos finitos
Standard mathematical terminology used in universities and academic contexts
Portugal
grupos finitos
Identical usage in Portuguese academic mathematics
USA Academic
finite groups
English equivalent used in American mathematical education

Related Words

teoria dos gruposordem do grupoelementos do gruposubgruposgrupo simétricogrupo cíclico

Related Idioms & Phrases

ordem de um grupo finito
teorema de Lagrange para grupos finitos
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