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Solvable line-transitive automorphism groups of finite linear spaces

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Abstract

Let S be a finite linear space, and letG be a group of automorphisms of S. IfG is soluble and line-transitive, then for a givenk but a finite number of pairs of (S, G),S hasv= p n points andG ⩽AΓL(1,p n).

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Authors and Affiliations

  1. Department of Mathematics, Physics & Mechanics, Changsha Railway University, 410075, Changsha, China

    Weijun Liu

  2. Department of Mathematics, Zhejiang University, 310027, Hangzhou, China

    Huiling Li

Authors
  1. Weijun Liu
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  2. Huiling Li
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Correspondence to Weijun Liu.

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Liu, W., Li, H. Solvable line-transitive automorphism groups of finite linear spaces. Sci. China Ser. A-Math. 43, 1009–1013 (2000). https://doi.org/10.1007/BF02898233

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  • DOI: https://doi.org/10.1007/BF02898233

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