title: Massey products in the Galois cohomology of number fields creator: Vogel, Denis subject: 510 subject: 510 Mathematics description: 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. date: 2004 type: Dissertation type: info:eu-repo/semantics/doctoralThesis type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/4418/1/thesis.pdf identifier: DOI:10.11588/heidok.00004418 identifier: urn:nbn:de:bsz:16-opus-44188 identifier: Vogel, Denis (2004) Massey products in the Galois cohomology of number fields. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/4418/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng