descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2003 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 138, pages 29-42 (issn: 0021-2172, eissn: 1565-8511,

Authors: Mináč, Ján; Swallow, John;

doi: 10.1007/bf02783417

arXiv: math/0202224

Galois module structure ofpth-power classes of extensions of degreep

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Abstract

For fields F of characteristic not p containing a primitive $p$th root of unity, we determine the Galois module structure of the group of $p$th-power classes of K for all cyclic extensions K/F of degree p.

Related Organizations

Western University
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Davidson College
United States

Keywords

Mathematics - Number Theory, $p$th-power classes, Separable extensions, Galois theory, Galois cohomology, Integral representations related to algebraic numbers; Galois module structure of rings of integers

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