$C_��$-extended oscillator algebras, generalizing the Calogero-Vasiliev algebra, where $C_��$ is the cyclic group of order $��$, have recently proved very useful in the context of supersymmetric quantum mechanics and some of its variants. Here we determine the spectrum generating algebra of the $C_��$-extended oscillator. We then construct its coherent states, study their nonclassical properties, and compare the latter with those of standard $��$-photon coherent states, which are obtained as a special case. Finally, we briefly review some other types of coherent states associated with the $C_��$-extended oscillator.

9 pages, LaTeX, amssym, talk at the XXIII International Colloquium on Group Theoretical Methods in Physics, Dubna (Russia), 30 July - 5 August, 2000 (without figures)