Profinite
Translation of "profinite" into Russian
profinite
AdjectiveUK
/prəʊˈfaɪnaɪt/
US
/proʊˈfaɪnaɪt/
profinite
профинитный
The profinite group has interesting topological properties.
Профинитная группа имеет интересные топологические свойства.
Definitions
profinite
AdjectiveUK
/prəʊˈfaɪnaɪt/
US
/proʊˈfaɪnaɪt/
In mathematics, relating to or denoting a topological group, ring, space, or other algebraic structure that can be expressed as the inverse limit of finite discrete structures, and is therefore compact and totally disconnected.
The absolute Galois group \(\mathrm{Gal}(\overline{K}/K)\) is a profinite group.