TY  - GEN
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/12811/
KW  - Milde pro-p-Gruppe 
KW  -  Cup-Produkt 
KW  -  Massey-Produkt 
KW  -  kohomologische Dimension 
KW  -   beschränkte Verzweigung 
KW  -  Rédei-Symbolmild pro-p-group 
KW  -  cup-product 
KW  -  Massey product 
KW  -  cohomological dimension 
KW  -  restricted ramification 
KW  -  Rédei symbol
Y1  - 2011///
ID  - heidok12811
AV  - public
TI  - Mild pro-p-groups with trivial cup-product
A1  - Gärtner, Jochen
N2  - 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.
ER  -