%0 Journal Article %T Growth for the central polynomials %A Amitai Regev %J Mathematics %D 2015 %I arXiv %X We study the growth of the central polynomials for the algebras $G$ and $M_k(F)$, the infinite dimensional Grassmann algebra and the $k\times k$ matrices over a field $F$ of characteristic zero. In particular it follows that $M_k(F)$ satisfy many proper central polynomials. %U http://arxiv.org/abs/1504.07077v1