Families of association schemes on triples from two-transitive groupsP. Balmaceda, Jose Maria (Avtor) A. Briones, Dom Vito (Avtor) association scheme on triplespermutation groupternary algebraalgebraic combinatoricsAssociation schemes on triples (ASTs) are ternary analogues of classical association schemes. Similar to how Schurian association schemes arise from transitive groups, ASTs arise from two-transitive groups. In this paper, we obtain the third valencies and the number of relations of the ASTs obtained from two-transitive permutation groups. Further, we obtain the intersection numbers of the ASTs produced by PΓL(k, n), PSL(2, n), AΓL(k, n), and the sporadic two-transitive groups. In particular, the ASTs from the actions of PΓL(k, n), PSL(2, n), and the sporadic groups are commutative.Založba Univerze na Primorskem20252025-10-21 23:22:12Članek v reviji22000sl