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cyclotomic extension - translation to russian
FIELD EXTENSION WHOSE GALOIS GROUP IS ABELIAN
Cyclic extension; Abelian extensions; Abelian Extension; Cyclotomic extension; Solvable extension; Cyclic field extension; Abelian field extension; Solvable field extension
cyclotomic extension
математика
круговое расширение
cyclic extension
математика
циклическое расширение
solvable extension
математика
разрешимое расширение
Wikipedia
Abelian extension
In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is also cyclic, the extension is also called a cyclic extension. Going in the other direction, a Galois extension is called solvable if its Galois group is solvable, i.e., if the group can be decomposed into a series of normal extensions of an abelian group. Every finite extension of a finite field is a cyclic extension.
