\title {\bf Generalized blocks for symmetric groups} \author{Burkhard K\"ulshammer \and J\o rn B. Olsson \and Geoffrey R. Robinson} \thanks{Subject classification [2000] Primary 20C30, 20C15, 20C20} \begin{abstract} We study, via character-theoretic methods, an $\ell$-analogue of the modular representation theory of the symmetric group, for an arbitrary integer $\ell \ge 2$. We find that many of the invariants of the usual block theory (ie. when $\ell$ is prime) generalize in a natural fashion to this new context. \end{abstract}