  Let M_m be the generic fibre of the formal deformation space of a
one-dimensional formal module X of finite height together with
level-m-structures. We show that it is defined over the mth Lubin-Tate
extension of the ground field and that it is geometrically connected over this
field. The action of the covering group of M_m over M_0 on the set of
geomtrically connected components is calculated as well as the action of the
action of the automorphism group of X.
