Vogel, Denis
German Title: Masseyprodukte in der Galoiskohomologie von Zahlkörpern
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Abstract
We study the relation structure of the Galois group of the maximal outside a finite set of primes unramified p-extension of Q and of the Galois group of the p-class field tower of a quadratic number field. This relation structure is described in terms of Massey products in the Galois cohomology of number fields. A connection is given to Milnor invariants and Redei symbols. In particluar, we prove a number theoretic analogue of the theorem of Porter and Turaev from link theory.
| Document type: | Dissertation |
|---|---|
| Supervisor: | Wingberg, Prof. Dr. Kay |
| Date of thesis defense: | 10 February 2004 |
| Date Deposited: | 13 Feb 2004 09:53 |
| Date: | 2004 |
| Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
| DDC-classification: | 510 Mathematics |
| Controlled Keywords: | Galois-Kohomologie, Kohomologieoperation, Galois-Gruppe, Klassenkörper, Quadratischer Zahlkörper, Knotentheorie |
| Uncontrolled Keywords: | Masseyprodukt , beschränkte Verzweigung , RelationenstrukturMassey product , restricted ramification , relation structure |
