| 2-(v,k,1)设计和PSL(3,q)(q是奇数) |
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| 引用本文： | 丁士锋. 2-(v,k,1)设计和PSL(3,q)(q是奇数)[J]. 高校应用数学学报(英文版), 2003, 18(3) |
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| 作者姓名： | 丁士锋 |
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| 作者单位： | Ding ShifengDept. of Math.，Zhejiang Univ.，Hangzhou 310027，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China( 1 0 1 71 0 89) |
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| 摘 要： | § 1 IntroductionA2 -(v,k,1 ) design D=(S,B) consists ofa finite set Sof v points and a collection Bof some subsets of S,called blocks,such that any two points lie on exactly one blockand each block contains exactly k points.A flag of Dis a pair(α,B) such thatα∈S,B∈Bandα∈B,the set of all flags is denoted by F.We assume that2≤k≤v.An automorphism of Dis a permutation of the points which leaves the set Binvari-ant,all the automorphisms form a group Aut D.Let G be a subgroup of A…
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2-(v,k,1) DESIGNS AND PSL (3,q) WHERE q IS ODD |
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| Ding Shifeng. 2-(v,k,1) DESIGNS AND PSL (3,q) WHERE q IS ODD[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(3) |
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| Authors: | Ding Shifeng |
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| Abstract: | Let G be a block-primitive automorphism group of a 2-(v,k,1) design.If G is isomorphic to PSL (3,q) where q is odd,then G is also point-primitive. |
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| Keywords: | design block-primitive point-primitive |
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