Note on 2-rational fields
Georges Gras (LM-Besan\c{c}on), Jean-Fran\c{c}ois Jaulent (IMB)
TL;DR
This paper investigates the Galois groups of specific 2-ramified and complexified pro-2-extensions of 2-rational number fields, providing explicit computations for these groups.
Contribution
It offers explicit calculations of Galois groups for maximal 2-ramified and complexified pro-2-extensions in 2-rational fields, advancing understanding of their Galois structures.
Findings
Explicit Galois group computations for 2-ramified extensions
Characterization of pro-2-extensions in 2-rational fields
Enhanced understanding of Galois structures in number theory
Abstract
We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Topology and Set Theory