Flag-Transitive Point-Primitive(v, k, 4)-Symmetric Designs with PSL_n(q) as Socle 被引量：1

Flag-Transitive Point-Primitive(v, k, 4)-Symmetric Designs with PSL_n(q) as Socle

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摘要 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）. 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）.

作者 Yan ZHU Shenglin ZHOU

机构地区 School of Basic Education Sciences School of Mathematics

出处《Journal of Mathematical Research with Applications》 CSCD 2018年第1期34-42,共9页 数学研究及应用（英文版）

基金 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)

关键词 symmetric design flag-transitive point-primitive classical group symmetric design flag-transitive point-primitive classical group

分类号 O157.2 [理学—基础数学]

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参考文献1

1ZHOU Sheng-lin TIAN De-lu.Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(3):334-341. 被引量：5

二级参考文献2

1ZHOU ShengLin,DONG HuiLi.Sporadic groups and flag-transitive triplanes[J].Science China Mathematics,2009,52(2):394-400. 被引量：8
2ZHOU ShengLin,DONG HuiLi.Exceptional groups of Lie type and flag-transitive triplanes[J].Science China Mathematics,2010,53(2):447-456.

共引文献4

1田德路,王亚杰.群PGL(2,7)与PBIB设计的构造[J].广东第二师范学院学报,2015,35(5):59-62.
2Delu TIAN,Shenglin ZHOU.Classification of Flag-Transitive Primitive Symmetric(v, k, λ) Designs with PSL(2, q) as Socle[J].Journal of Mathematical Research with Applications,2016,36(2):127-139. 被引量：2
3朱雁.有限典型群和本原旗传递对称(v,k,5)设计[J].数学理论与应用,2018,38(1):12-23.
4代娟,周胜林.对称2-(15,8,4)设计的区传递自同构群[J].理论数学,2021,11(2):186-191.

同被引文献4

1ZHOU ShengLin,DONG HuiLi.Exceptional groups of Lie type and flag-transitive triplanes[J].Science China Mathematics,2010,53(2):447-456.
2李东海,刘伟俊,吴政先.~2F_4(q^2)与2-(v,k,3)对称设计[J].数学理论与应用,2008,28(3):108-111. 被引量：1
3ZHOU Sheng-lin TIAN De-lu.Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(3):334-341. 被引量：5
4DONG HuiLi ZHOU ShengLi.Affine groups and flag-transitive triplanes[J].Science China Mathematics,2012,55(12):2557-2578. 被引量：3

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1朱雁.有限典型群和本原旗传递对称(v,k,5)设计[J].数学理论与应用,2018,38(1):12-23.

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Journal of Mathematical Research with Applications

2018年第1期

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