BLOCK-TRANSITIVE

作品数：6被引量：1H指数：1
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相关领域：理学更多>>
相关作者：唐剑雄刘伟俊更多>>
相关机构：中南大学更多>>
相关期刊：《Algebra Colloquium》《Chinese Quarterly Journal of Mathematics》《数学理论与应用》《Advances in Pure Mathematics》更多>>
相关基金：国家自然科学基金中国博士后科学基金更多>>
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Block-transitive 3-designs Associated with Alternating Groups
《数学理论与应用》2024年第4期19-30,共12页Gan Yunsong Liu Weijun 
supported by the National Natural Science Foundation of China(No.12471022)。
A t-(v,k,λ)design is said to be G-point-primitive or G-block-transitive,if its automorphism group G acts primitively on the point set or transitively on the block set,respectively.In this paper we begin by extending ...
关键词：Block-transitive design Primitive group Alternating 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 
The Group of Automorphisms of Transitive 2-(v, 23, 1) Designs
《Chinese Quarterly Journal of Mathematics》2015年第4期579-586,共8页李上钊 
Supported by the National Natural Science Foundation of China(11271208,11471054);Supported by the Graduate Students’Scientific Research Innovation Project of Jiangsu Province Ordinary University(KYLX1213)
This paper is a contribution to the study of the automorphism groups of 2 - （v, k, 1） designs. Let D be a 2 - （v, 23, 1） design and G a block-transitive and point-primitive group of automorphism of D. Then the soc...
关键词：BLOCK-TRANSITIVE point-primitive design SOCLE 
On Block-transitive 6-（v, k, λ）-Designs with k at Most 10000
《Algebra Colloquium》2014年第2期231-234,共4页Qionghua Tan Weijun Liu Jing Chen 
Supported by the National Natural Science Foundation of China （Grant No. 10871205, 11271208） and Hunan Provincial Science and Technology Department （2011FJ6092）.
In recent years, there has been a great deal of research concerning the flag- transitive t-designs, however, few about the block-transitive t-designs with t large （t 〉 4）. In 1993, Cameron and Praeger conjectured t...
关键词：BLOCK-TRANSITIVE 6-designs 3-homogeneous automorphism groups 
Block-Transitive 2-(v,k,1) Designs and Groups E_6(q)被引量：1
《Journal of Mathematical Research and Exposition》2010年第4期581-588,共8页Guang Guo HAN1,2 1. Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China 2. Institute of Information Engineering, Information Engineering University, Henan 450002, P. R. China 
Supported by the National Natural Science Foundation of China (Grant No.10871205);China Postdoctoral Science Foundation Funded Project (Grant No.20080441323) ;Scientific Research Fund of Zhejiang Education Department (Grant No.Y200804780)
This article is a contribution to the study of block-transitive automorphism groups of 2-（v,k,1） block designs. Let D be a 2-（v,k,1） design admitting a block-transitive, pointprimitive but not flag-transitive auto...
关键词：block design BLOCK-TRANSITIVE point-primitive automorphism group. 
On Soluble Block-Transitive 2-(5~6,7,1)Designs
《Journal of Mathematical Research and Exposition》2006年第4期679-684,共6页刘伟俊 唐剑雄 
the National Natural Science Foundation of China(10471152)
Let G be a soluble block-transitive automorphism group of 2-（5^6, 7, 1） design D. Then G is flag-transitive or G ≤ AΓL（1, 5^6）.
关键词：DESIGN BLOCK-TRANSITIVE AUTOMORPHISM soluble group. 
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