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On tamely ramified pro-p-extensions over ${\mathbb Z}_p$-extensions of ${\mathbb Q}$
Published online by Cambridge University Press: 20 November 2013
Abstract
For an odd prime number p and a finite set S of prime numbers congruent to 1 modulo p, we consider the Galois group of the maximal pro-p-extension unramified outside S over the ${\mathbb Z}_p$-extension of the rational number field. In this paper, we classify all S such that the Galois group is a metacyclic pro-p group.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 2 , March 2014 , pp. 281 - 294
- Copyright
- Copyright © Cambridge Philosophical Society 2013
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