On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)

DOI10.3836/tjm/1270042120zbMath0919.11068OpenAlexW2090352589MaRDI QIDQ1382856

Takashi Fukuda, Manabu Ozaki, Hisao Taya, Keiichi Komatsu

Publication date: 30 May 1999

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270042120

zbMATH Keywords

Iwasawa theoryGreenberg's conjecture\(\lambda\)-invariantsreal cyclic extension

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (11)

On the Iwasawa invariants for links and Kida’s formula ⋮ On the vanishing of Iwasawa invariants of certain \((p,p)\)-extensions of \(\mathbb{Q}\) ⋮ On Iwasawa 𝜆₃-invariants of cyclic cubic fields of prime conductor ⋮ GENERALIZATIONS OF IWASAWA'S "RIEMANN–HURWITZ" FORMULA FOR CYCLIC p-EXTENSIONS OF NUMBER FIELDS ⋮ On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$ ⋮ Capitulation of the 2-class group of some cyclic number fields with large degree ⋮ On the \(\lambda\)-invariants of totally real fields ⋮ On the vanishing of Iwasawa invariants of certain cyclic extensions of \(\mathbb{Q}\) with prime degree. II ⋮ On the \(\mathbb{Z}_3\)-extension of a certain cubic cyclic field ⋮ On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields ⋮ On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb Z_2\)-extension of a real quadratic field

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