%0 Journal Article %T Generating Functions of Orbifold Chern Classes I : Symmetric Products %A Toru Ohmoto %J Mathematics %D 2006 %I arXiv %X For a possibly singular complex variety $X$, generating functions of total "orbifold Chern homology classes" of symmetric products $S^nX$ are given. Those are very natural "Chern class versions" (in the sense of Schwartz-MacPherson) of known generating function formulae of (generalized) orbifold Euler characteristics of $S^nX$. In fact more generally we introduce the "class version" of the Dey-Wohlfahrt formula in classical group theory. %U http://arxiv.org/abs/math/0604583v2