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On the Galois group of 2-extensions with restricted ramification
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Denis Vogel
Published/Copyright:
July 27, 2005
Abstract
In this paper we study the relation structure of the Galois group of the maximal outside a given set S of primes unramified 2-extension ℚS(2) of ℚ and of the Galois group of the 2-class field tower of a quadratic number field. We complete Morishita’s calculations of the triple Milnor invariants for ℚS(2) and obtain the relation structure of G(ℚS(2) / ℚ) modulo the fourth step of the Zassenhaus filtration. We use this result in order to deduce information on the Galois group of the 2-class field tower of a quadratic number field.
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Published Online: 2005-07-27
Published in Print: 2005-04-26
© Walter de Gruyter
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Articles in the same Issue
- Locally conformal Kähler reduction
- A finiteness theorem for representability of quadratic forms by forms
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- Equivariant vector bundles on group completions
- On the Galois group of 2-extensions with restricted ramification
- Gaussian maps, Gieseker-Petri loci and large theta-characteristics
- Approximation and the n-Berezin transform of operators on the Bergman space
- Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
