00-18E

The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analysed by means of a field theoretical renormalization group approach in two loop approximation refined by ressumation of asymptotic series. The one-loop result of Aharony indicating the absence of a 2nd order phase transition for isotropic distribution of random anisotropy axis at space dimension $d<4$ is corroborated. For a c cubic distribution the accessible stable fixed point leads to disordered Ising-like critical exponents.