Reduced Whitehead groups of prime exponent algebras over p-adic curves

2018/08/27 by Nivedita Bhaskhar, Bhaskhar, Nivedita
Mathematics · #11R58 #14H05 #14H25 #16K20 #16K50 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.AG #math.NT #math.RA #msc:11R58 #msc:14H05 #msc:14H25 #msc:16K20 #msc:16K50

paper · pdf · doi:10.48550/arxiv.1808.09021

arxiv created 2018/08/27 · openalex publication_date 2018/08/27 · arxiv updated 2018/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F be the function field of a curve over a p-adic field. Let D/F be a central division algebra of prime exponent ℓ which is different from p. Assume that F contains a primitive ℓ²-th root of unity. Then the group SK₁(D):=SL₁(D)/[D^*, D^*] is trivial.

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