title: Mild pro-p-groups with trivial cup-product
creator: Gärtner, Jochen
subject: ddc-510
subject: 510 Mathematics
description: Generalizing previous results due to A. Schmidt and J. Labute, we prove sufficient criteria involving higher Massey products for finitely presented pro-p-groups to be mild and hence of cohomological dimension 2. Further investigations are pursued in the special case of one-relator pro-p-groups. We construct a class of mild pro-2-groups having trivial cup-product, which occur as Galois groups of the maximal 2-extensions of the rationals with ramification restricted to given finite sets of places. To this end, we extend the description of the triple Massey product via Rédei symbols given by M. Morishita and D. Vogel. An example of a "fab" duality group of dimension 2 having trivial cup-product is explicitely constructed.
date: 2011
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/12811/1/dissertation_gaertner.pdf
identifier: DOI:10.11588/heidok.00012811
identifier: urn:nbn:de:bsz:16-opus-128116
identifier:   Gärtner, Jochen  (2011) Mild pro-p-groups with trivial cup-product.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/12811/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng