Line-transitive point-imprimitive linear spaces with Fang-Li parameter gcd(k,r) at most 10

2011/12/15 by Haiyan Guan, Guan, Haiyan, Delu Tian +3
Mathematics · #05B05 #05B25 #20B25 #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1112.3432

openalex publication_date 2011/12/15 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

This paper is a further contribution to the classification of line-transitive finite linear spaces. We prove that if S is a non-trivial finite linear space with the Fang-Li parameter gcd(k,r) is 9 or 10, the automorphism group G of S is line-transitive and point-imprimitive, then S is the Desarguesian projective plane PG(2,9).

Citations

• Most block-transitivet-designs are point-primitive
• The Primitive Permutation Groups of Degree Less Than 4096
• Finite Permutation Groups and Finite Simple Groups

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