  In this article we construct Symmetric operations for all primes (previously
known only for p=2). These unstable operations are more subtle than the
Landweber-Novikov operations, and encode all p-primary divisibilities of
characteristic numbers. Thus, taken together (for all primes) they plug the gap
left by the Hurewitz map L ---> Z[b_1,b_2,...], providing an important
structure on Algebraic Cobordism. Applications include: questions of
rationality of Chow group elements - see [11], and the structure of the Graded
Algebraic Cobordism. We also construct Steenrod operations of T.tom Dieck-style
in Algebraic Cobordism. These unstable multiplicative operations are more
canonical and subtle than Quillen-style operations, and complement the latter.
