Recent classification of ?$\frac{3}{2}$?-transitive permutation groups leaves us with three infinite families of groups which are neither 2-transitive, nor Frobenius, nor one-dimensional affine. The groups of the first two families correspond to special actions of ?$\mathrm{PSL}(2, q)$? and ?$\mathrm{P \Gamma L}(2, q)$?, whereas those of the third family are the affine solvable subgroups of ?$\mathrm{AGL}(2, q)$? found by D. S. Passman J. Algebra 7, 192-207 (1967). The association schemes of the groups in each of these families are known to be pseudocyclic. It is proved that apart from three particular cases, each of these exceptional pseudocyclic schemes is characterized up to isomorphism by the tensor of its 3-dimensional intersection numbers.

Rights

URN

URN:NBN:SI:DOC-GX9GP7W4

COBISSID

111797763

DOI

10.26493/1855-3974.2405.b43

Added

22.11.2022

Metadata

Citation

APA:

Chen, Gang, He, Jiawei, Ponomarenko, Ilia Nikolaevich, Vasil'ev, Andrey (2021). A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers. Ars mathematica contemporanea, volume 21, issue 1, str. 133-150. URN:NBN:SI:DOC-GX9GP7W4 from http://www.dlib.si

MLA:

Chen, Gang, He, Jiawei, Ponomarenko, Ilia Nikolaevich, Vasil'ev, Andrey. "A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers." Ars mathematica contemporanea volume 21. issue 1 (2021) str. 133-150.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-GX9GP7W4>

Ars mathematica contemporanea
2008-
(Assembly record)