Abstract
An association scheme is a combinatorial object derived from the orbitals of a transitive permutation group. Let G be a transitive permutation group acting on a finite set X. Then ??x? XGx? is a normal subgroup of G where Gx:={g ? G ? xg=x}. A meta-thin association scheme can be considered as a generalization of the situation where ??x? XGx? normalizes Gx. In this paper, we consider the automorphism group of a meta-thin association scheme, and obtain a sufficient condition for a meta-thin association scheme to have a transitive automorphism group. This enables us to conclude that every meta-thin association scheme with its thin residue isomorphic to the cyclic group of order pq, where p and q are primes, has a transitive automorphism group.
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