  The critical behavior of frustrated spin systems with nonplanar orderings is
analyzed by a six-loop study in fixed dimension of an effective
  O$(N) \times $O$(M)$ Landau-Ginzburg-Wilson Hamiltonian. For this purpose the
large-order behavior of the field theoretical expansion is determined. No
stable fixed point is found in the physically interesting case of $M=N=3$,
suggesting a first-order transition in this system. The large $N$ behavior is
analyzed for $M=3, 4, 5$ and the line $N_c(d=3,M)$ which limits the region of
second-order phase transition is computed.
