A note on Shafarevich-Tate sets for finite groups

DOI10.3792/pjaa.74.77zbMath1001.11042OpenAlexW2025087816MaRDI QIDQ1281916

Takashi Ono

Publication date: 17 December 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.77

zbMATH Keywords

Hasse principlefinite Galois extensionShafarevich-Tate setsdecomposition grouprelative cyclotomic extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Elliptic curves over global fields (11G05) Cyclotomic extensions (11R18)

Related Items

``Shafarevich-Tate sets for profinite groups, Local-global invariants of finite and infinite groups: around Burnside from another side., Tate–Shafarevich groups and algebras, The Bogomolov multiplier of rigid finite groups, Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table?, A Carlitz module analogue of the Grunwald-Wang Theorem, ``Hasse principle for \(PSL_2(\mathbb{Z})\) and \(PSL_2(\mathbb{F}_p)\), ``Hasse principle for free groups

Cites Work

• On Hasse principle for \(x^n=a\)
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