A translation plane of order 192 admitting SL(2,5), obtained by 12-nest replacement

Alan R. Prince

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The problem of determining two-dimensional translation planes admitting SL(2,5) in the translation complement has been intensively studied. Most examples arise from multiple-derivation of a Desarguesian plane. In this paper, we construct two translation planes of order 192 admitting SL(2,5), one of which is obtained by 12-nest replacement. © 2007 Springer Science+Business Media, LLC.

Original languageEnglish
Pages (from-to)25-30
Number of pages6
JournalDesigns, Codes and Cryptography
Issue number1-3
Publication statusPublished - Sep 2007


  • 12-nest replacement
  • SL(2,5)
  • Translation planes


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