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Massey products in the Galois cohomology of number fields

Vogel, Denis

German Title: Masseyprodukte in der Galoiskohomologie von Zahlkörpern

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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.

Item 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 > Department of Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Galois-Kohomologie, Kohomologieoperation, Galois-Gruppe, Klassenkörper, Quadratischer Zahlkörper, Knotentheorie
Uncontrolled Keywords: Masseyprodukt , beschränkte Verzweigung , RelationenstrukturMassey product , restricted ramification , relation structure
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