eprintid: 4418
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/44/18
datestamp: 2004-02-13 09:53:38
lastmod: 2014-04-03 13:35:44
status_changed: 2012-08-14 15:10:57
type: doctoralThesis
metadata_visibility: show
creators_name: Vogel, Denis
title: Massey products in the Galois cohomology of number fields
title_de: Masseyprodukte in der Galoiskohomologie von Zahlkörpern
ispublished: pub
subjects: 510
divisions: 110400
adv_faculty: af-11
keywords: Masseyprodukt , beschränkte Verzweigung , RelationenstrukturMassey product , restricted ramification , relation structure
cterms_swd: Galois-Kohomologie
cterms_swd: Kohomologieoperation
cterms_swd: Galois-Gruppe
cterms_swd: Klassenkörper
cterms_swd: Quadratischer Zahlkörper
cterms_swd: Knotentheorie
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. 
abstract_translated_lang: eng
class_scheme: msc
class_labels: 55S30, 20E18, 11R32, 11R34
date: 2004
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00004418
ppn_swb: 1643643290
own_urn: urn:nbn:de:bsz:16-opus-44188
date_accepted: 2004-02-10
advisor: HASH(0x564e1c5fc8f8)
language: eng
bibsort: VOGELDENISMASSEYPROD2004
full_text_status: public
citation:   Vogel, Denis  (2004) Massey products in the Galois cohomology of number fields.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/4418/1/thesis.pdf