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Pro-p galois groups of rank ≤4

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Abstract

Letp be a prime >2, letF be a field of characteristic ≠p containing a primitivep-th root of unity and letG F (p) be the Galois group of the maximal Galois-p-extension ofF. Ifrk G F (p)≤4 thenG F (p) is a free pro-p product of metabelian groups orG F (p) is a Demuškin group of rank 4.

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  1. Fakultät für Mathematik und Informatik, Universität Konstanz, Postfach 5560, D-78434, Konstanz, Germany

    Jochen Koenigsmann

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  1. Jochen Koenigsmann
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Koenigsmann, J. Pro-p galois groups of rank ≤4. Manuscripta Math 95, 251–271 (1998). https://doi.org/10.1007/BF02678029

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  • DOI: https://doi.org/10.1007/BF02678029

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