Constructing flag-transitive, point-imprimitive designs

Peter Jephson Cameron, Cheryl E. Praeger

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
6 Downloads (Pure)

Abstract

We give a construction of a family of designs with a specified point-partition and determine the subgroup of automorphisms leaving invariant the point-partition. We give necessary and sufficient conditions for a design in the family to possess a flag-transitive group of automorphisms preserving the specified point-partition. We give examples of flag-transitive designs in the family, including a new symmetric 2-(1408,336,80) design with automorphism group 2^12:((3⋅M22):2) and a construction of one of the families of the symplectic designs (the designs S^−(n) ) exhibiting a flag-transitive, point-imprimitive automorphism group.
Original languageEnglish
Pages (from-to)755-769
JournalJournal of Algebraic Combinatorics
Volume43
Issue number4
Early online date2 Apr 2015
DOIs
Publication statusPublished - 4 May 2016

Keywords

  • Flag-transitive design
  • Point-imprimitive
  • Automorphism group

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