Efficient computation of maximal orders in radical (including Kummer) extensions

DOI10.1016/j.jsc.2011.12.053zbMath1269.11125OpenAlexW1983923069MaRDI QIDQ412222

Nicole Sutherland

Publication date: 4 May 2012

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.12.053

zbMATH Keywords

Kummer extensionsmaximal ordersclass fieldsradical extensions

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40)

Related Items (2)

Efficient computation of maximal orders in Artin-Schreier-Witt extensions ⋮ ALGORITHMS FOR GALOIS EXTENSIONS OF GLOBAL FUNCTION FIELDS

Uses Software

• Magma

Cites Work

• Algebraic function fields and codes
• Implementing the Round Four maximal order algorithm
• Approximating rings of integers in number fields
• Advanced Topics in Computional Number Theory
• On computations in Kummer extensions.
• Factoring polynomials over local fields.
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