20.500.12556/RUP-22000 Families of association schemes on triples from two-transitive groups Družine asociativnih shem na trojicah iz dvo-tranzitivnih grup Association 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. association scheme on triples permutation group ternary algebra algebraic combinatorics true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-10-21 23:22:12 2025-10-21 23:22:12 2025-11-13 03:04:20 0000-00-00 00:00:00 2025 0 0 16 str. no. 3, [article no.] P3.05 Vol. 25 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-05-27 51 1855-3974 https://doi.org/10.26493/1855-3974.2897.19b AMC_Balmaceda,Briones_2025.pdf AMC_Balmaceda,Briones_2025.pdf 1 4CFB1F7FFE2DFD278F11B0697F215DE8 63f4928ce881c37e4e6e624ce154a4f6a0a7b1ccececd7b067466942e6283122 8105b300-aec4-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31935 Založba Univerze na Primorskem 0 0 0