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  2. Absolute Galois group - Wikipedia

    en.wikipedia.org/wiki/Absolute_Galois_group

    The absolute Galois group of the real numbers is a cyclic group of order 2 generated by complex conjugation, since C is the separable closure of R and [C:R] = 2.. In mathematics, the absolute Galois group G K of a field K is the Galois group of K sep over K, where K sep is a separable closure of K.