A Galois approach to Kaplansky Radical $\times$ Hilbert's Theorem 90
Number Theory
2024-04-02 v2 Group Theory
Abstract
This paper aims to prove a version of the Hilbert's Theorem 90 for a field with non-trivial Kaplansky radical and the Galois group of its maximal -extension as a finitely generated elementary type pro-2 group.
Cite
@article{arxiv.2006.01891,
title = {A Galois approach to Kaplansky Radical $\times$ Hilbert's Theorem 90},
author = {Ronie Peterson Dario},
journal= {arXiv preprint arXiv:2006.01891},
year = {2024}
}