R\'edei symbols and arithmetical mild pro-2-groups
Number Theory
2013-03-12 v1
Abstract
Generalizing results of Morishita and Vogel, an explicit description of the triple Massey product for the Galois group of the maximal 2-extension of unramified outside a finite set of prime numbers containing 2 is given in terms of R\'edei symbols. We show that mild pro-2-groups with Zassenhaus invariant 3 occur as Galois groups of the form . Furthermore, a non-analytic mild fab pro-2-group having only 3 generators is constructed .
Cite
@article{arxiv.1303.2608,
title = {R\'edei symbols and arithmetical mild pro-2-groups},
author = {Jochen Gärtner},
journal= {arXiv preprint arXiv:1303.2608},
year = {2013}
}