Pro-p galois groups of rank ≤4 |
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| Authors: | Jochen Koenigsmann |
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| Institution: | 1. Fakult?t für Mathematik und Informatik, Universit?t Konstanz, Postfach 5560, D-78434, Konstanz, Germany
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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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| Keywords: | Primary 12F10 Secondary 12J20 12G05 |
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