Galois module structure of pth-power classes of cyclic extensions of degree p^n

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dc.creatorMinac, Jan
dc.creatorSchultz, Andrew
dc.creatorSwallow, John
dc.date2004-09-27
dc.date2005-04-12
dc.date.accessioned2026-07-07T06:26:48Z
dc.date.available2026-07-07T06:26:48Z
dc.descriptionIn the mid-1960s Borevic and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of pth-power degree. They determined the structure of these modules in the case when F is a local field. In this paper we determine these Galois modules for all base fields F.
dc.descriptionv2 (45 pages): Corrected minor errors and added Corollary 3. To appear in Proc. London Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0409532
dc.identifierhttp://arxiv.org/abs/math/0409532
dc.identifierProc. London Math. Soc. 92 (2006), no. 2, 307--341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97224
dc.subjectNumber Theory
dc.subject12F10 (Primary) 16D70 (Secondary)
dc.titleGalois module structure of pth-power classes of cyclic extensions of degree p^n
dc.typetext

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