\(p\)-ranks of class groups of Witt equivalent number fields

DOI10.1006/jnth.1999.2397zbMath0988.11054OpenAlexW2000664963MaRDI QIDQ1306699

Kazimierz Szymiczek

Publication date: 21 February 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2397

zbMATH Keywords

Hilbert class fields\(p\)-rank of ideal class groupinfinite Hilbert \(p\)-class field towerWitt equivalent number fields

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic forms over global rings and fields (11E12) Class numbers, class groups, discriminants (11R29)

Related Items (1)

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Cites Work

• Endliche separable Körpererweiterungen mit vorgeschriebenen Bewertungsfortsetzungen. I
• Wild sets and 2-ranks of class groups
• Imaginary quadratic fields with small odd class number
• Parity of Class Numbers and Witt Equivalence of Quartic Fields
• Witt equivalence of global fields
• A Class Rank Estimate for Algebraic Number Fields
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