  The role of lattice asymmetry parameter in description of the SU(2)
gluodynamics phase structure at finite temperature is studied analytically. The
fact that renormalization group relations which permit to remove the lattice
asymmetry parameter from the thermodynamical quantities in the "naive" limit
don't do the same in the approximation SU(N) = Z(N) keeping the "naive" limit
results at the same time was point out. An additional condition which would fix
asymmetry parameter is needed for this dependence removal.
