Recent results on $p$-ranks and Smith normal forms of some $2-(v,k,\lambda)$ designs

Abstract

We survey recent results on $p$-ranks and Smith normal forms of some $2-(v,k,\lambda)$ designs. In particular, we give a description of the recent work in \cite{csx} on the Smith normal forms of the 2-designs arising from projective and affine spaces over $\Ff_q$.