Abelian 2-class field towers over the cyclotomic $${\mathbb {Z}_2}$$ -extensions of imaginary quadratic fields
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Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00208-009-0431-8.pdf
Reference21 articles.
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2. Evens L.: The Schur multiplier of a semi-direct product. Illinois J. Math. 16, 166–181 (1972)
3. Ferrero B.: The cyclotomic $${\mathbb {Z}_2}$$ -extension of imaginary quadratic fields. Am. J. Math. 102(3), 447–459 (1980)
4. Fröhlich, A.: Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields, Contemp. Math. vol. 24. Amer. Math. Soc., Rhode Island (1983)
5. Gras G.: Class Field Theory: From Theory to Practice. Springer Monographs in Mathematics. Springer, Berlin (2003)
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1. On the Hilbert 2-Class Field Towers of the Layers of Some Cyclotomic $$\mathbb {Z}_2$$-Extensions;Trends in Mathematics;2023-12-28
2. On the rank of the 2-class group of some imaginary biquadratic number fields;Acta Mathematica Hungarica;2022-04-08
3. Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions;Publicationes Mathematicae Debrecen;2022-01-01
4. On the Structure of the Galois Group of the Maximal Pro-$p$ Extension with Restricted Ramification over the Cyclotomic $\mathbb{Z}_p$-extension;Tokyo Journal of Mathematics;2020-06-01
5. On pro- link groups of number fields;Transactions of the American Mathematical Society;2019-02-06
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