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On 2-(v,k,λ)Designs with Flag-Transitive Automorphism Groups of Product Action Type: 《Algebra Colloquium》2023年第2期351-360,共10页Zhilin Zhang Shenglin Zhou; Zhilin Zhang was supported by the National Natural Science Foundation of China(12001204);Shenglin Zhou was supported by the National Natural Science Foundation of China(12271173).; In this paper we present two new families of 2-(v,k,λ)designs with a flag-transitive and point-primitive automorphism group of product action type.More sur-prisingly,one of them is still a family of 2-(v,k,λ)designs...; 关键词：FLAG-TRANSITIVE 2-(v k λ) design O'Nan-Scott theorem product action type

Flag-Transitive 3-(v,k,3)Designs and PSL(2,q)Groups: 《Algebra Colloquium》2021年第1期33-38,共6页Shaojun Dai Shangzhao Li; Supported by the National Natural Science Foundation of China(Grant Nos.11301377,11701046,11671402);the Natural Science Foundation of Jiangsu Province(BK20170433);the Universities Natural Science Foundation of Jiangsu Province(16KJB110001).; This article is a contribution to the study of the automorphism groups of 3-(v,k,3)designs.Let S=(P,B)be a non-trivial 3-(q+1,k,3)design.If a two-dimensional projective linear group PSL(2,q)acts flag-transitively on S...; 关键词：FLAG-TRANSITIVE 3-designs PSL(2 q)groups

Complete Classification of Flag-Transitive Point-Primitive2-Designs with Socle M11: 《Journal of Mathematical Research with Applications》2020年第6期551-557,共7页Delu TIAN; Supported by the National Natural Science Foundation of China(Grant No.11801092);the Characteristic Innovation Project(Natural Science)of Guangdong Province(Grant No.2018KTSCX160);the Fund of Guangzhou Science and Technology(Grant No.201804010088)。; In recent years several authors have determined some 2-designs with flag-transitive point-primitive automorphism group G of almost simple type with sporadic socle. Here we obtain the complete classification of flag-tr...; 关键词：2-design FLAG-TRANSITIVE point-primitive Mathieu group

Flag-transitive 2-(v,5,λ)designs with sporadic socle被引量：1: 《Frontiers of Mathematics in China》2020年第6期1201-1210,共10页Jiaxin SHEN Shenglin ZHOU; supported by the National Natural Science Foundation of China(Grant No.11871224).; We state that the flag-transitive automorphism group of a 2-(v,5,λ)design D is primitive of affine type or almost simple type.W e also find that there are up to isomorphism 202-(v,5,λ)designs admitting flag-transiti...; 关键词：2-design PRIMITIVITY flag-transitivity sporadic simple group

Flag-Transitive Point-Primitive(v, k, 4)-Symmetric Designs with PSL_n(q) as Socle被引量：1: 《Journal of Mathematical Research with Applications》2018年第1期34-42,共9页Yan ZHU Shenglin ZHOU; Supported by the National Natural Science Foundation of China(Grant Nos.11471123;11626206);the Scientific Research Foundation for Excellent Talents of Xuzhou Medical University(Grant No.D2016002); Let D be a nontrivial symmetric（v, k, 4） design, and G ≤ Aut（D） be flag-transitive and point-primitive with PSL_n（q） as socle. Then D is a 2-（15, 8, 4） symmetric design and Soc（G） = PSL_2（9）.; 关键词：symmetric design flag-transitive point-primitive classical group

Block-Transitive 4-(v,k,4) Designs and Ree Groups: 《Advances in Pure Mathematics》2016年第5期317-320,共4页Shaojun Dai Ruihai Zhang; This article is a contribution to the study of the automorphism groups of designs. Let be a non-trivial design where for some positive integer , and is block-transitive. If the socle of G is isomorphic to the simpl...; 关键词：FLAG-TRANSITIVE BLOCK-TRANSITIVE T-DESIGN Ree Group

Classification of Flag-Transitive Primitive Symmetric(v, k, λ) Designs with PSL(2, q) as Socle被引量：1: 《Journal of Mathematical Research with Applications》2016年第2期127-139,共13页Delu TIAN Shenglin ZHOU; Supported by the National Natural Science Foundation of China(Grant Nos.11471123;11426066);the Natural Science Foundation of Guangdong Province(Grant No.S2013010011928); Let D be a nontrivial symmetric（v, k, λ） design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G acts flag-transitively, pointprimitively on D and Soc（G） = PSL（2, q）, t...; 关键词：symmetric design flag-transitive primitive group

Flag-transitive 2-（v, k, λ） symmetric designs with （k, λ） =1 and alternating socle被引量：1: 《Frontiers of Mathematics in China》2015年第6期1483-1496,共14页Yan ZHU Haiyan GUAN Shenglin ZHOU; Acknowledgements The authors would like to thank the anonymous referees for their valuable suggestions and comments which helped to improve this paper. This work was supported by the National Natural Science Foundation of China （Grant No. 11471123） and the Natural Science Foundation of Guangdong Province （Grant No. $2013010011928）.; Consider the flag-transitive 2-（v, k, λ） symmetric designs with （k, λ）= 1. We prove that if （） is a nontrivial 2-（v, k, λ）symmetric design with （k,λ） = 1 and G ≤ Aut（） is flag-transitive with Sot（G）...; 关键词：Symmetric design automorphism group alternating group flagtransitive

Flag-Transitive 6-(v, k, 2) Designs: 《Advances in Pure Mathematics》2014年第5期203-208,共6页Xiaolian Liao Shangzhao Li Guohua Chen; The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group. Therefore, using the classification theorem of 3–homogeneous permutation groups, the classification of flag-transi...; 关键词：FLAG-TRANSITIVE Combinatorial Design PERMUTATION GROUP AFFINE GROUP 3-Homogeneous PERMUTATION Groups

Affine groups and flag-transitive triplanes被引量：2: 《Science China Mathematics》2012年第12期2557-2578,共22页DONG HuiLi ZHOU ShengLi; supported by National Natural Science Foundation of China (Grant No. 11071081); Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G≤Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G≤AΓL1(q), where q is some power of ...; 关键词：symmetric design triplane FLAG-TRANSITIVE point-primitive affine group

FLAG-TRANSITIVE