Directly to content
  1. Publishing |
  2. Search |
  3. Browse |
  4. Recent items rss |
  5. Open Access |
  6. Jur. Issues |
  7. DeutschClear Cookie - decide language by browser settings

Massey products in the Galois cohomology of number fields

Vogel, Denis

German Title: Masseyprodukte in der Galoiskohomologie von Zahlkörpern

[img]
Preview
PDF, English
Download (456Kb) | Terms of use

Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the persistent URL or the URN below, as we can guarantee their long-time accessibility.

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.

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
About | FAQ | Contact | Imprint |
OA-LogoLogo der Open-Archives-Initiative