Absolute Galois group
In mathematics, the absolute Galois group GK of a field K is the Galois group of Ksep over K, where Ksep is a separable closure of K. Alternatively it is the group of all automorphisms of the algebraic closure of K that fix K. The absolute Galois group is well-defined up to inner automorphism. It is a profinite group. (When K is a perfect field, Ksep is the same as an algebraic closure Kalg of K. This holds e.g. for K of characteristic zero, or K a finite field.)
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Absolute Galois group
In mathematics, the absolute Galois group GK of a field K is the Galois group of Ksep over K, where Ksep is a separable closure of K. Alternatively it is the group of all automorphisms of the algebraic closure of K that fix K. The absolute Galois group is well-defined up to inner automorphism. It is a profinite group. (When K is a perfect field, Ksep is the same as an algebraic closure Kalg of K. This holds e.g. for K of characteristic zero, or K a finite field.)
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Die absolute Galoisgruppe eine ...... ehrproblems der Galoistheorie.
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En matemática, el grupo absolu ...... ero, o K si es cuerpo finito.)
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En mathématiques, le groupe de ...... de la pro-p-clôture séparable.
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Il gruppo di Galois assoluto d ...... con la chiusura algebrica di .
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In mathematics, the absolute G ...... ic zero, or K a finite field.)
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Inom matematiken är den absolu ...... eller då K är en ändlig kropp.
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Абсолютная группа Галуа поля — ...... теристики 0 и конечных полей.)
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在数学中，一个 域 K 的 绝对伽罗瓦群 GK ，是 Kse ...... Ka/k 的自同构的群。绝对伽罗瓦群和所有伽罗瓦群一样，是
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Die absolute Galoisgruppe eine ...... ehrproblems der Galoistheorie.
@de
En matemática, el grupo absolu ...... ero, o K si es cuerpo finito.)
@es
En mathématiques, le groupe de ...... héorie algébrique des nombres.
@fr
Il gruppo di Galois assoluto d ...... con la chiusura algebrica di .
@it
In mathematics, the absolute G ...... ic zero, or K a finite field.)
@en
Inom matematiken är den absolu ...... eller då K är en ändlig kropp.
@sv
Абсолютная группа Галуа поля — ...... теристики 0 и конечных полей.)
@ru
在数学中，一个 域 K 的 绝对伽罗瓦群 GK ，是 Kse ...... Ka/k 的自同构的群。绝对伽罗瓦群和所有伽罗瓦群一样，是
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Absolut Galoisgrupp
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Absolute Galois group
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Absolute Galoisgruppe
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Groupe de Galois absolu
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Grupo absoluto de Galois
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Gruppo di Galois assoluto
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Абсолютная группа Галуа
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绝对伽罗瓦群
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