Triviality of the ℓ-class groups in -extensions of for split primes p ≡ 1 modulo 4

DOI10.1017/S030500411400022XzbMath1296.11142MaRDI QIDQ2877369

Jack Lamplugh

Publication date: 22 August 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

class numberMahler measureclass groupelliptic units\(\mathbb{Z}_{p}\)-extensions

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (1)

An analogue of the Washington-Sinnott theorem for elliptic curves with complex multiplication I

Cites Work

• The narrow class groups of the \(\mathbb Z_{17}\)- and \(\mathbb Z_{19}\)-extensions over the rational field
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
• A numerical study of Weber's real class number calculation
• Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field
• WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ₂-EXTENSION OF ℚ, III
• Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic Z₃-extension of Q
• On Some Inequalities for Polynomials in Several Variables
• The narrow class groups of some Z_p-extensions over the rationals
• Elliptic Curves with Complex Multiplication and Iswasawa Theory

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