On the Galois Structure of Units in Number Fields

DOI10.1112/plms/s3-66.1.71zbMath0806.11049OpenAlexW1969823475MaRDI QIDQ4290014

David J. Burns

Publication date: 28 April 1994

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

Full work available at URL: https://doi.org/10.1112/plms/s3-66.1.71

zbMATH Keywords

abelian extensionsreal abelian number fieldsalgebraic unitslocal Galois module structurefactor-equivalenceglobal unit groups

Mathematics Subject Classification ID

Units and factorization (11R27) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

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Computing associated orders and Galois generating elements of unit lattices ⋮ \(\mathcal S\)-units and \(\mathcal S\)-class groups of a cyclic number field of prime degree

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