Analysing flag-transitive point-imprimitive 2-designs

2022/08/26 by Devillers, Alice, Praeger, Cheryl E. · 1 citation
#05B05 #20B25 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2208.12455

Abstract

In this paper we develop several general methods for analysing flag-transitive point-imprimitive 2-designs, which give restrictions on both the automorphisms and parameters of such designs. These constitute a tool-kit for analysing these designs and their groups. We apply these methods to complete the classification of flag-transitive, point-imprimitive 2-(v,k,λ) designs with λ at most 4.

Cited by

• 2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)

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