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PABX extension number - translation to English
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
PABX extension number
добавочный номер PABX
extension problem
GROUP FOR WHICH A GIVEN GROUP IS A NORMAL SUBGROUP
Extension problem; Extension (algebra); Split extension; Extension of a group; Central extension (mathematics)
математика
задача продолжения
field extension
PAIR OF A MATHEMATICAL FIELD AND ITS SUBFIELD
Subfield (mathematics); Quadratic extension; Purely transcendental; Extension field; Quadratic field extension; Degree (field theory); Subextension (field theory); Trivial extension; Intermediate field; Adjunction (field theory); Extension of a field; Finitely generated field extension; Purely transcendental extension; Field Extension; Finitely generated extension; Subextension; Cubic field extension; Cubic extension; Transcendental field extension; Adjoining (field theory)
общая лексика
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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.
