Realizability and admissibility under extension of p-adic and number fields
Rings and Algebras
2011-11-23 v2 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0911.3792,
title = {Realizability and admissibility under extension of p-adic and number fields},
author = {Danny Neftin and Uzi Vishne},
journal= {arXiv preprint arXiv:0911.3792},
year = {2011}
}
Comments
22 pages