Patching and admissibility over two-dimensional complete local domains

We develop a patching machinery over the field E D K((X, Y)) of formal power series in two variables over an infinite field K. We apply this machinery to prove that if K is separably closed and G is a finite group of order not divisible by char E, then there exists a G-crossed product algebra with center E if and only if the Sylow subgroups of G are abelian of rank at most 2.