Abstract
In [7], Yasushi Mizusawa gives computations which lead to a pro-$2$-presentation of the Galois group of the maximal unramified pro-$2$-extension of the cyclotomic $\mathbb{Z}_{2}$-extension over some imaginary quadratic fields, with low $\lambda$-invariants. We show that these methods can be applied to some maximal tamely ramified pro-$2$-extensions, depending on the quadratic imaginary field, and the condition of ramification.
Citation
Landry Salle. "On maximal tamely ramified pro-2-extensions over the cyclotomic $\mathbb{Z}_{2}$-extension of an imaginary quadratic field." Osaka J. Math. 47 (4) 921 - 942, December 2010.
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