  In this paper we provide a detailed calculation of the Sweedler cohomology of
the algebra of functions on (Z/2)^r, in all degrees, over a field of
characteristic 2. The result is strikingly different from the characteristic 0
analog.
  Then we show that there is a variant in characteristic p of the result
obtained by Kassel and the author in characteristic zero, which provides a
near-complete calculation of the second lazy cohomology group in the case of
function algebras over a finite group.
