The Galois structure of ambiguous ideals in cyclic extensions of degree 8

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dc.creatorElder, G. Griffith
dc.date2006-02-03
dc.date.accessioned2026-07-07T07:03:05Z
dc.date.available2026-07-07T07:03:05Z
dc.descriptionIn cyclic, degree 8 extensions of algebraic number fields $N/K$, ambiguous ideals in N are canonical $\mathbb{Z}[C_8]$-modules. Their $\mathbb{Z}[C_8]$-structure is determined here. It is described in terms of indecomposable modules and determined by ramification invariants. Although infinitely many indecomposable $\mathbb{Z}[C_8]$-modules are available (classification by Yakovlev), only 23 appear.
dc.descriptionThis article has appeared in the Lect. Notes Pure Appl. Math. without references. The article is being posted here, with permission, to remedy that problem
dc.identifierhttps://arxiv.org/abs/math/0602060
dc.identifierhttp://arxiv.org/abs/math/0602060
dc.identifierNoncommutative algebra and geometry, Lect. Notes Pure Appl. Math., vol. 243, Chapman & Hall/CRC, Boca Raton, FL, 2006, pp. 63--89
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108841
dc.subjectNumber Theory
dc.subject11S23; 20C10
dc.titleThe Galois structure of ambiguous ideals in cyclic extensions of degree 8
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