Whether or not the problem of finding maximal independent sets (MIS) in hypergraphs is in (R)NC is one of the fundamental problems in the theory of parallel computing. Unlike the well-understood case of MIS in graphs, for the hypergraph problem, our knowledge is quite limited despite considerable work. It is known that the problem is in RNC when the edges of the hypergraph have constant size. For general hypergraphs with n vertices and m edges, the fastest previously known algorithm works in time O(√n) with poly(m,n) processors. In this paper we give an EREW PRAM algorithm that works in time no(1) with poly(m,n) (Equation presented) processors on general hypergraphs satisfying m ≤ n where log(2) n = log log n and log(3) n = log log log n. Our algorithm is based on a sampling idea that reduces the dimension of the hypergraph and employs the algorithm for constant dimension hypergraphs as a subroutine.