Galois group

Etymology
Named after, who first discovered them.

Noun

 * 1)  The automorphism group of a Galois extension.

Usage notes

 * The automorphism group of a Galois extension $$L/K$$ may be denoted $$\mbox{Gal}(L/K)$$.
 * $$\operatorname{Gal}(F/F)$$ is the trivial group whose single element is the identity automorphism.

Translations

 * Arabic: زمرة غالوا
 * Chinese:
 * Mandarin: 伽罗瓦群
 * French: groupe de Galois
 * Hungarian:
 * Italian: gruppo di Galois
 * Japanese: ガロア群
 * Korean: 갈루아 군
 * Russian: группа Галуа
 * Spanish: grupo de Galois