Some new 3-designs invariant under the groups Sz(8) and S6(2)

被引：0
|
作者：
Rahimipour, Ali Reza [1 ]
Adeli, Morteza [2 ]
机构：
[1] Univ Qom, Fac Sci, Dept Math, POB 37161-46611, Qom, Iran
[2] Malek Ashtar Univ Technol, Fac Elect & Comp Engn, Tehran, Iran
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2024年 / 16卷 / 04期
关键词：
3-Design; permutation representation; Suzuki group; symplectic group; T-DESIGNS;
D O I：
10.1142/S1793830923500350
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we determine all simple block-transitive 3-designs on 65 points with block stabilizer of order greater than 2, admitting the 2-transitive action of the group S-z(8). As a result, we find 23 3-designs on 65 points that have Sz(8) as an automorphism group. Also we construct four 3-(36, 18, ?(1)) designs for ?(1) ? {768, 5184,6912, 9216} and two 3-(36, 17, ?(2)) designs for ?(2) ? {2880, 8640}. All of these designs have S6(2) as the full automorphism group. Some of these designs are flag and anti-flag-transitive.
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页数：9
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