On Pseudocyclic Association Schemes

The notion of pseudocyclic association scheme is generalized to the non-commutative case. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency $k$ and rank at least $k^4$ is schurian.Comment: 23 pages, 7 figure

On schurian fusions of the association scheme of a Galois affine plane of prime order

The schurian fusions of the association scheme of a Galois affine plane of prime order are completely identified.Comment: 9 page