| Title: | Families of association schemes on triples from two-transitive groups |
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| Authors: | ID P. Balmaceda, Jose Maria (Author)
ID A. Briones, Dom Vito (Author) |
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| Files: |  AMC_Balmaceda,Briones_2025.pdf (417,07 KB)
MD5: 4CFB1F7FFE2DFD278F11B0697F215DE8
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | 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. |
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| Keywords: | association scheme on triples, permutation group, ternary algebra, algebraic combinatorics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 27.05.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 16 str. |
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| Numbering: | Vol. 25, no. 3, [article no.] P3.05 |
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| PID: | 20.500.12556/RUP-22000  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.2897.19b |
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| Publication date in RUP: | 21.10.2025 |
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| Views: | 348 |
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| Downloads: | 7 |
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