Solvable line-transitive automorphism groups of finite linear spaces |
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| Authors: | LIU Weijun LI Huiling |
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| Institution: | 1. Department of Mathematics, Physics & Mechanics, Changsha Railway University, Changsha 410075, China
2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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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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| Keywords: | linear space line-transitive automorphism solvable group |
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