Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Cheryl E. Praeger; Shenglin Zhou

Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Cheryl E. Praeger
, Shenglin Zhou

Mathematics and Statistics

Research output: Working paper › Preprint

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Abstract

In this paper we complete a classification of finite linear spaces $\cS$ with line size at most 12 admitting a line-transitive point-imprimitive subgroup of automorphisms. The examples are the Desarguesian projective planes of orders $4,7, 9$ and 11, two designs on 91 points with line size 6, and 467 designs on 729 points with line size 8.

Original language	English
Publisher	arXiv
Publication status	Published - 20 Apr 2007

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0704.2688v1Submitted manuscript, 212 KB

1 Article

Classification of line-transitive point-imprimitive linear spaces with line size at most 12
Praeger, C. & Zhou, S., 2008, In: Designs Codes and Cryptography. 47, 1-3, p. 99-111
Research output: Contribution to journal › Article › peer-review

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Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Abstract

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Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Cite this