2009/11/19 by Danny Neftin, Neftin, Danny, Uzi Vishne +1 · 1 citation
Mathematics · #11S20 #16K20 #16S35 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.NT #math.RA #msc:11S20 #msc:16K20 #msc:16S35
paper · pdf · doi:10.48550/arxiv.0911.3792
22 pages
openalex publication_date 2009/11/19 · arxiv created 2011/11/22 · arxiv updated 2011/11/23 · openalex created_date 2023/01/10 · openalex updated_date 2026/07/28
A finite group G is K-admissible if there exists a G-crossed product K-division algebra. In this manuscript we study the behavior of admissibility under extensions of number fields M/K. We show that in many cases, including Sylow metacyclic and nilpotent groups whose order is prime to the number of roots of unity in M, a K-admissible group G is M-admissible if and only if G satisfies the easily verifiable Liedahl condition over M.