Peccei-Quinn-like symmetries for nonabelian axions

Axions were first introduced in connection with chiral symmetry but are now being looked for mainly as dark matter. In this paper we introduce a nonabelian analogue of axions which can also be potential candidates Their symmetries, generalizations the Peccei-Quinn symmetry, interesting their own right. Detailed analysis, using fermion measure and zeta function approaches, shows that these symmetries not anomalous.