Galois groups of number fields generated by torsion points of elliptic curves

DOI10.1017/S0027763000022662zbMath0621.12011MaRDI QIDQ3758000

Kay Wingberg

Publication date: 1986

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Galois groupsGalois cohomologyIwasawa theory\({bbfZ}_ p\)-extensionmaximal p-extensiontorsion points of elliptic curvesfree pro-p- groups

Mathematics Subject Classification ID

Galois theory (11R32) Elliptic curves (14H52) Cyclotomic extensions (11R18) Ramification and extension theory (11S15) Global ground fields in algebraic geometry (14G25) Galois cohomology (11R34)

Related Items (3)

On the cohomological dimension of pro-\(p\)-extensions of number fields ⋮ A Riemann-Hurwitz formula for the Selmer group of an elliptic curve ⋮ On the weak Leopoldt conjecture and Iwasawa $\mu $-invariants

Cites Work

• Über Galoisgruppen lokaler Körper
• Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlkörperfall
• On the conjecture of Birch and Swinnerton-Dyer
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields

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