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abelian extension · Vinony

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abelian extension

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field extension whose Galois group is abelian

Connections

rational number

abstract algebra

algebraic number field

fundamental group

Eric W. Weisstein

algebraic curve

class field theory

Encyclopedia of Mathematics

Galois extension

European Mathematical Society

Categories

Algebraic number theory Class field theory Field extensions

Sources

wikipedia.externallinksexternallink

What links here85 pages

Dedekind zeta function

class number formula

Artin reciprocity law

algebraic number theory

ideal class group

Hasse principle

Hilbert's Theorem 90

Hilbert's ninth problem

algebraic number field

Hilbert's twelfth problem

field extension

lemniscatic elliptic function

group cohomology

Herbrand–Ribet theorem

Chebotarev's density theorem

Kronecker–Weber theorem

Gaussian rational

totally real number field

Artin–Schreier theory

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fundamental theorem of Galois theory

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finitely generated abelian group

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