Title: Pointed $p^2q$-dimensional Hopf algebras in positive characteristic,
Abstract: Let $\K$ be an algebraically closed field of positive characteristic $p$. We
mainly classify pointed Hopf algebras over $\K$ of dimension $p^2q$, $pq^2$ and
$pqr$ where $p,q,r$ are distinct prime numbers. We obtain a complete
classification of such Hopf algebras except two subcases when they are not
generated by the first terms of coradical filtration. In particular, we obtain
many new examples of non-commutative and non-cocommutative finite-dimensional
Hopf algebras.