Geodesic
The feeble conjecture on the 2-adic regulator for some 2-extensions
Izvestiya. Mathematics, Tome 76 (2012) no. 2, pp. 346-355 Cet article a éte moissonné depuis la source Math-Net.Ru

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For an algebraic number field $K$ that is a finite 2-extension of the CM-field $k$ with trivial Iwasawa invariant $\mu_2(k)$, we prove that its cyclotomic $\mathbb Z_\ell$-extension $K_\infty/K$ satisfies the feeble conjecture on the 2-adic regulator [1]. In particular, this conjecture holds for $K_\infty/K$ if $K$ is a 2-extension of a field $k$ that is Abelian over $\mathbb Q$. We also obtain other results in the same direction.
Keywords: cyclotomic $\mathbb Z_\ell$-extension, 2-adic regulator, 2-extension, Iwasawa invariants. 
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     title = {The feeble conjecture on the 2-adic regulator for some 2-extensions},
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L. V. Kuz'min. The feeble conjecture on the 2-adic regulator for some 2-extensions. Izvestiya. Mathematics, Tome 76 (2012) no. 2, pp. 346-355. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a4/

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