Quintic rings over Dedekind domains and their sextic resolvents

DOI10.1007/s40993-022-00343-8zbMath1501.11101arXiv1511.03162OpenAlexW4284890662WikidataQ114218012 ScholiaQ114218012MaRDI QIDQ2153907

Evan O'Dorney

Publication date: 13 July 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03162

zbMATH Keywords

resolventDedekind domainSteinitz classhigher composition lawsvery degenerate quintic algebra

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• Higher composition laws. IV: The parametrization of quintic rings
• Parametrization of ideal classes in rings associated to binary forms
• The density of discriminants of quartic rings and fields
• The number of extensions of a number field with fixed degree and bounded discriminant

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