p-Rational Fields and the Structure of Some Modules

26 Apr 2018 Habibi Abdelaziz El Ziane M'hammed

Assume that the field $K$ is $p$-rational. We study the freeness of the $\Lambda(G_{\infty,S})$-module $\mathcal{X}=\mathcal{H}^{ab}=\mathrm{\mathrm{G}al}(K_{S\cup S_p}/K_{\infty,S})^{ab}$... (read more)

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  • NUMBER THEORY