| Line-primitive Linear Spaces with Fang-Li Parameter gcd（k,r） at Most 12 |
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| 作者姓名： | Sheng Lin ZHOU Yan Bo MA Wei Dong FANG |
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| 作者单位： | [1]Department of Mathematics, South China University of Technology, Guangzhou 510641, P. R. China [2]Department of Mathematics and Information Technology, Hanshan Normal University, Chaozhou 521041, P. R. China |
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| 基金项目： | Supported by the Research Fund for the Doctoral Program of Higher Education of China （Grant No. 200805611097） |
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| 摘 要： |
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| 关 键 词： | 线性空间 GCD 最大公约数 同构群 点本原 子群 |
Line-primitive linear spaces with Fang-Li parameter gcd(<Emphasis Type="Italic">k,r</Emphasis>) at most 12 |
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| Sheng Lin ZHOU,Yan Bo MA,Wei Dong FANG.Line-primitive linear spaces with Fang-Li parameter gcd(k,r) at most 12[J].Acta Mathematica Sinica,2011,27(4):657-670. |
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| Authors: | Sheng Lin Zhou Yan Bo Ma Wei Dong Fang |
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| Institution: | 1.Department of Mathematics,South China University of Technology,Guangzhou,P. R. China;2.Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou,P. R. China |
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| Abstract: | Let G be a subgroup of the automorphism group of a non-trivial finite linear space S. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd(k, r) = 11 and 12, then G is also point-primitive. This extends the results of Fang and Li (1993) and Li and Liu (2001) which combined gives the result
for gcd(k, r) ≤ 10. |
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| Keywords: | Finite linear spaces line-primitive point-imprimitive |
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