A Galois approach to Kaplansky Radical $\times$ Hilbert's Theorem 90

Fuente: arXiv
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Main Author: Dario, Ronie Peterson
Format: Preprint
Published: 2020
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author Dario, Ronie Peterson
author_facet Dario, Ronie Peterson
contents 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 $2$-extension as a finitely generated elementary type pro-2 group.
format Preprint
id arxiv_https___arxiv_org_abs_2006_01891
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle A Galois approach to Kaplansky Radical $\times$ Hilbert's Theorem 90
Dario, Ronie Peterson
Number Theory
Group Theory
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 $2$-extension as a finitely generated elementary type pro-2 group.
title A Galois approach to Kaplansky Radical $\times$ Hilbert's Theorem 90
topic Number Theory
Group Theory
url https://arxiv.org/abs/2006.01891