Gradings on Matrix Algebras of Prime Order.

We give a classification of the group gradings on M p (K) , here p is a prime number and K is a field that contains a primitive p-th root of unity if char K ≠ p . The gradings are isomorphic to an elementary grading, to a division grading with support isomorphic to Z p or to a division grading with support isomorphic to Z p × Z p . [ABSTRACT FROM AUTHOR]