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A geometric consequence of the classification of finite doubly transitive groups

✍ Scribed by Anne Delandtsheer


Publisher
Springer
Year
1986
Tongue
English
Weight
558 KB
Volume
21
Category
Article
ISSN
0046-5755

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✦ Synopsis


We prove that the finite linear spaces containing a proper linear subspace and admitting an automorphism group which is transitive on the unordered pairs of intersecting lines are the projective and affine spaces of dimension ~3, unless all lines have size 2.


πŸ“œ SIMILAR VOLUMES


The classification of doubly transitive
✍ Oliver Pfaff πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 542 KB

We classify the doubly transitive affine designs. The proof uses the classification of the multiply transitive permutation groups.