Nontrivial tame extensions over Hopf orders

DOI10.4064/AA104-1-3zbMath1018.11056OpenAlexW2053935958MaRDI QIDQ4548871

Robert G. Underwood, Daniel R. Replogle

Publication date: 27 August 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa104-1-3

zbMATH Keywords

cyclotomic fieldlocally free class groupprincipal homogeneous spaceHilbert-Speiser theoremSwan moduleLarson orderRaynaud order

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (2)

Nontrivial Galois module structure of cyclotomic fields ⋮ Sequences of Hopf-Swan subgroups.

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