Coherent configurations over copies of association schemes of prime order

Reza Sharafdini, Mitsugu Hirasaka

Let $G$ be a group acting faithfully and transitively on ${\Omega }_i$ for $i=1,2$. A famous theorem by Burnside implies the following fact: If $|{\Omega }_1|=|{\Omega }_2|$ is a prime and the rank of one…