On the Terwilliger algebras of quasi-thin Schurian association schemes
Abstract
An association scheme is triply transitive if its automorphism group is transitive, and the centralizer algebra of a point stabilizer of its automorphism group coincides with the Terwilliger algebra and its subspace T0. In this paper, we give necessary and sufficient conditions for a quasi-thin association scheme to be triply transitive. As a by-product, we give new infinite families of triply-transitive association schemes.
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