Fast computation of class fields given their norm group

DOI10.5802/jtnb.646zbMath1193.11119OpenAlexW1972512631MaRDI QIDQ1026980

Loïc Grenié

Publication date: 30 June 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2008__20_3_707_0

zbMATH Keywords

Kummer extensionray class groupKummer compositumnorm grouprnfkummer function

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Uses Software

• PARI/GP

Cites Work

• Comparison of semi-simplifications of Galois representations
• Advanced Topics in Computional Number Theory