Pontryagin cohomology operation

In mathematics, a Pontryagin cohomology operation is a cohomology operation taking cohomology classes in H2n(X,Z/prZ) to H2pn(X,Z/pr+1Z) for some prime number p. When p=2 these operations were introduced by and were named Pontrjagin squares by  (with the term "Pontryagin square" also being used). They were generalized to arbitrary primes by.