Norm principles for forms of higher degree permitting composition

2007/01/04 by Robert W. Fitzgerald, R. W. Fitzgerald, Fitzgerald, R. W. +3
Mathematics · #11E04 #11E76 #12E05 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.NT #math.RA #msc:11E04 #msc:11E76 #msc:12E05

paper · pdf · doi:10.48550/arxiv.math/0701139

13 pages, substantial improvements over previous version

openalex publication_date 2007/01/04 · arxiv created 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F be a field of characteristic 0 or greater than d. Scharlau's norm principle holds for separable field extensions K over F, for certain forms ϕ of degree d over F which permit composition.

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