Rédei symbols and arithmetical mild pro-2-groups

2013/03/11 by Jochen Gärtner, Gärtner, Jochen
Mathematics · #11R34 #12G10 #20E18 #20F05 #55S30 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.NT #msc:11R34 #msc:12G10 #msc:20E18 #msc:20F05 #msc:55S30

paper · pdf · doi:10.48550/arxiv.1303.2608

arxiv created 2013/03/11 · openalex publication_date 2013/03/11 · arxiv updated 2013/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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