Massey products in the Galois cohomology of number fields

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.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Heidelberg

Year

2004

Author dc:creator

• Vogel, Denis

Contributors dc:contributor

• Wingberg, Kay

Repository record source_url

http://www.ub.uni-heidelberg.de/archiv/4418

OAI identifier oai:identifier

oai:archiv.ub.uni-heidelberg.de:4418