Mathematics – Rings and Algebras
Scientific paper
2009-11-19
Mathematics
Rings and Algebras
22 pages
Scientific paper
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.
Neftin Danny
Vishne Uzi
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