A design and a geometry for the group Fi 22

P. J. Cameron*, A. Rudvalis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The Fischer group Fi 22 acts as a rank 3 group of automorphisms of a symmetric 2-(14080,1444,148) design. This design does not have a doubly transitive automorphism group, since there is a partial linear space with lines of size 4 defined combinatorially from the design and preserved by its automorphism group. We investigate this geometry and determine the structure of various subspaces of it.

Original languageEnglish
Pages (from-to)11-14
Number of pages4
JournalDesigns, Codes, and Cryptography
Volume44
Issue number1-3
DOIs
Publication statusPublished - 1 Sept 2007

Keywords

  • Automorphism group
  • Geometry
  • Symmetric design

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