Rédei symbols and arithmetical mild pro-2-groups
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 ce...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
29 July 2014
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| In: |
Annales mathématiques du Québec
Year: 2014, Jahrgang: 38, Heft: 1, Pages: 13-36 |
| ISSN: | 2195-4763 |
| DOI: | 10.1007/s40316-014-0021-3 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s40316-014-0021-3
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| Verfasserangaben: | Jochen Gärtner |
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| 520 | |a 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. | ||
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