  Let K be a field and G a finite group. The question of 'admissibility' of G
over K was originally posed by Schacher, who gave partial results in the case K
= Q. In this paper, we give necessary conditions for admissibility of a finite
group G over function fields of curves over complete discretely valued fields.
Using this criterion, we give an example of a finite group which is not
admissible over Qp(t). We also prove a certain Hasse principle for division
algebras over such fields.
