Rédei symbols and arithmetical mild pro-2-groups

• Verfasst von: Gärtner, Jochen [VerfasserIn]
• Titel: Rédei symbols and arithmetical mild pro-2-groups
• Verf.angabe: Jochen Gärtner
• E-Jahr: 2014
• Jahr: 29 July 2014
• Umfang: 24 S.
• Fussnoten: Gesehen am 28.07.2020
• Titel Quelle: Enthalten in: Annales mathématiques du Québec
• Ort Quelle: Heidelberg : Springer, 2013
• Jahr Quelle: 2014
• Band/Heft Quelle: 38(2014), 1, Seite 13-36
• ISSN Quelle: 2195-4763
• DOI: doi:10.1007/s40316-014-0021-3
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1725696754

Abstract

Generalizing results of Morishita and Vogel, an explicit description of the triple Massey product for the Galois group $$G_S(2)$$GS(2)of the maximal 2-extension of $$\mathbb {Q}$$Qunramified outside a finite set of prime numbers $$S$$Scontaining 2 is given in terms of Rédei symbols. We show that certain mild pro-$$2$$2-groups with Zassenhaus invariant $$3$$3occur as Galois groups of the form $$G_S(2)$$GS(2). Furthermore, a non-analytic mild fab pro-$$2$$2-group having only $$3$$3generators is constructed.