A p-algebra is a finite dimensional division algebra of p-power degree over a field of characteristic p for p any prime. At one point it was conjectured that all p-algebras were in fact cyclic algebras. We will discuss the counter example to this conjecture which is due to Amitsur and Saltman, and talk about how the example can be used to construct indecomposable p-algebras with exponent p and degree pr for r>1 and p odd.