A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers

نویسندگان

چکیده

Recent classification of 3/2-transitive permutation groups leaves us with three infinite families which are neither 2-transitive, nor Frobenius, one-dimensional affine. The the first two correspond to special actions PSL(2, q) and PΓL(2, q), whereas those third family affine solvable subgroups AGL(2, found by D. Passman in 1967. association schemes each these known be pseudocyclic. It is proved that apart from particular cases, exceptional pseudocyclic characterized up isomorphism tensor its 3-dimensional intersection numbers.

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ژورنال

عنوان ژورنال: Ars Mathematica Contemporanea

سال: 2021

ISSN: ['1855-3974', '1855-3966']

DOI: https://doi.org/10.26493/1855-3974.2405.b43