On tamely ramified pro-p-extensions over -extensions of-Reference-Cited by-同舟云学术

On tamely ramified pro-p-extensions over -extensions of

Published:2013-11-20 Issue:2 Volume:156 Page:281-294
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

ITOH TSUYOSHI,MIZUSAWA YASUSHI

Abstract

AbstractFor 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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