It is widely known that the considerable underestimation of the nucleo
n axial-vector coupling constant g(A) is an undesirable common feature
of soliton models of the nucleon based on the so-called 'hedgehog'' c
onfiguration. This fundamental physical quantity is reanalyzed within
the framework of the chiral quark soliton model. The path integral qua
ntization based on the cranking procedure leads to a systematic power
series expansion in the Coriolis coupling (which scales as 1/N(c)) ind
uced by the isorotation of the hedgehog mean field. We find that an im
portant 1/N(c) correction exists in this scheme and it greatly improve
s the situation for the g(A) problem.