On the ideal class group of the normal closure of \(\mathbb{Q}(\sqrt[p]{n})\)

DOI10.1016/j.jnt.2020.04.004zbMath1464.11118OpenAlexW3026730804MaRDI QIDQ784707

René Schoof

Publication date: 3 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.04.004

zbMATH Keywords

Galois cohomologyalgebraic number fieldsclass groupsclass fields

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

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• Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions
• Catalan's conjecture
• Separable algebras over commutative rings
• Pure cubic fields whose class numbers are multiples of three
• The Brauer Group of a Commutative Ring

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