infinite groups
[ɪnˈfɪnɪt ɡruːps]
nounpl: infinite groups
grupos infinitos
1. In mathematics, particularly in group theory, groups that contain an infinite number of elements
The additive group of integers is one of the most common examples of infinite groups.
O grupo aditivo dos inteiros é um dos exemplos mais comuns de grupos infinitos.
2. Groups with cardinality greater than any finite number, studied extensively in abstract algebra
Infinite groups can be classified into countably infinite and uncountably infinite groups.
Os grupos infinitos podem ser classificados em grupos enumeravelmente infinitos e grupos não enumeravelmente infinitos.
This is a specialized mathematical term used primarily in academic and research contexts in both Brazil and the United States. It is not commonly used in everyday conversation and is specific to mathematics, particularly group theory and abstract algebra courses at the university level.
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