  The doubling method of Piatetski-Shapiro and Rallis enables one to define
local factors for irreducible non-generic representations of classical groups,
using an integral representation. In this work, we prove the stability property
of the gamma factor for split general spin groups. This result can be used for
the proof of a weak functorial lift, from cuspidal representations of general
spin groups to automorphic representations of the appropriate general linear
group, by virtue of the generalized doubling method. We obtain our result by
adapting the method of Rallis and Soudry, who obtained the stability for
orthogonal and symplectic groups.
