\(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible
type: Item
instance of: scholarly article
title: \(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible
zbMATH Open document ID: 1028.12003
DOI: 10.1016/S0021-8693(02)00523-9
author: Walter Feit
published in: Journal of Algebra
publication date: 2003-02-12T00:00:00Z
review text: Let \(F\) be an algebraic number field. A field extension \(N\) of \(F\) is called \(F\)-adequate if it is the maximal subfield of a central division algebra over \(F\). A finite group is called \(F\)-admissible if it is the Galois group of an \(F\)-adequate Galois extension of \(F\). The author proves that the group \(\text{SL}(2,11)\) is admissible for the field of rational numbers.
reviewed by: Michael Dettweiler
Mathematics Subject Classification ID: 12F12
zbMATH DE Number: 1868063
zbMATH Keywords: admissible field extension
zbMATH Keywords: maximal subfield
zbMATH Keywords: central division algebra
zbMATH Keywords: Galois group
zbMATH Keywords: adequate Galois extension
MaRDI profile type: Publication
cites work: Witt-Invariante und ein gewisses Einbettungsproblem.
cites work: A polynomial with Galois group \(\text{SL}_2(11)\)
cites work: Subfields of division rings. I
cites work: A new polynomial factorization algorithm and its implementation
cites work: Q5723265
full work available at URL: s0021-8693(02)00523-9
OpenAlex ID: W2077092517
description: scientific article; zbMATH DE number 1868063