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.
- 12-nest replacement
- Translation planes