Polynomials without roots in division algebras

DOI10.1080/00927879608825793zbMath0869.12005OpenAlexW1994119554MaRDI QIDQ4714533

Elizabeth S. Allman

Publication date: 2 September 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879608825793

zbMATH Keywords

class groupdivision algebraDedekind ring\(k\)-deficient Galois extensionspolynomials without roots

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Skew fields, division rings (12E15)

Cites Work

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• Q-admissibility of solvable groups
• Extensions régulières de \({\mathbb{Q}}(T)\) de groupe de Galois \(\tilde A_ n\). (Regular extensions of \({\mathbb{Q}}(T)\) with Galois group \(\tilde A_ n)\)
• The K-admissibility of SL(2,5)
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• \(\mathbb Q\)-admissibility questions for alternating groups
• \(K\)-admissibility of \(A_ 6\) and \(A_ 7\)
• Subfields of division rings. I
• The Galois Theory of Iterates and Composites of Polynomials

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