Degree Three Unramified Cohomology Groups

2015/03/29 by Akinari Hoshi, Hoshi, Akinari, Ming-chang Kang +3
Mathematics · #12G05 #14E08 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:12G05 #msc:14E08

paper · pdf · doi:10.48550/arxiv.1503.08375

openalex publication_date 2015/03/29 · arxiv created 2015/03/31 · arxiv updated 2015/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime number. Peyre shows that there is a group G of order p¹² such that H_nr³(\bmC(G), \bmQ/\bmZ) is non-trivial. Using Peyre's method, we are able to prove that the same conclusion is true for some groups of order p⁹.

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