Title: The cohomology ring of some Hopf algebras,
Abstract: Let p be a prime, and k be a field of characteristic p. We investigate the
algebra structure and the structure of the cohomology ring for the connected
Hopf algebras of dimension p^3, which appear in the classification obtained in
[V.C. Nguyen, L.-H. Wang and X.-T. Wang, Classification of connected Hopf
algebras of dimension p^3, J. Algebra 424 (2015), 473-505]. The list consists
of 23 algebras together with two infinite families. We identify the Morita type
of the algebra, and in almost all cases this is sufficient to clarify the
structure of the cohomology ring.