Extensions with Archimedean ramification points
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 61-66
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A subgroup of the Galois group of an extension of an algebraic number field that is closed with respect to 2-extensions is considered. This subgroup is generated by the inertia sub-groups of the real points of the maximal real subfield. It is proved that this group is the free product of the Cantor set of cyclic groups of order 2 in the category of pro-2-groups.