Free product of Demushkin groups as absolute Galois group
Number Theory
2024-08-27 v1 Group Theory
Abstract
We prove that a free profinite (pro-) product over a set converging to 1 of countably many Demushkin groups of rank , , that can be realized as absolute Galois groups, is isomorphic to an absolute Galois group if and only if .
Cite
@article{arxiv.2408.13875,
title = {Free product of Demushkin groups as absolute Galois group},
author = {Tamar Bar-On},
journal= {arXiv preprint arXiv:2408.13875},
year = {2024}
}