  We examine in detail the stable reduction of Galois covers of the projective
line over a complete discrete valuation field of mixed characteristic (0, p),
where G has a cyclic p-Sylow subgroup of order p^n. If G is further assumed to
be p-solvable (i.e., G has no nonabelian simple composition factors with order
divisible by p), we obtain the following consequence: Suppose f: Y --> P^1 is a
three-point G-Galois cover defined over the complex numbers. Then the nth
higher ramification groups above p for the upper numbering of the (Galois
closure of the) extension K/Q vanish, where K is the field of moduli of f. This
extends work of Beckmann and Wewers. Additionally, we completely describe the
stable model of a general three-point Z/p^n-cover, where p > 2.
