2011/10/19 by Danny Neftin, Neftin, Danny, Uzi Vishne +1
Mathematics · #16S35 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.NT #math.RA #msc:16S35
paper · pdf · doi:10.48550/arxiv.1110.4162
11 pages. arXiv admin note: text overlap with arXiv:0911.3792
arxiv created 2011/10/19 · openalex publication_date 2011/10/19 · arxiv updated 2011/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A finite group G is admissible over a field M if there is a division algebra whose center is M with a maximal subfield G-Galois over M. We consider nine possible notions of being admissible over M with respect to a subfield K of M, where the division algebra, the maximal subfield or the Galois group are asserted to be defined over K. We completely determine the logical implications between all variants.