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Extensions with Archimedean ramification points
V. A. Babaitsev M. V. Lomonosov Moscow State University
Abstract:
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.
Received: 04.08.1971
Citation:
V. A. Babaitsev, “Extensions with Archimedean ramification points”, Mat. Zametki, 14:1 (1973), 61–66; Math. Notes, 14:1 (1973), 589–592
Linking options:
https://www.mathnet.ru/eng/mzm7204 https://www.mathnet.ru/eng/mzm/v14/i1/p61
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Abstract page: | 165 | Full-text PDF : | 70 | First page: | 1 |
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