Heriot-Watt Mathematics Report Series
HWM05-25, 16 Nov 2005
Orbit constructions for translation planes of order 81 admitting SL(2,5).
N L Johnson and A R Prince
The translation planes of order 81 admitting SL(2,5), discovered by the authors, are analysed. Those described by spreads in PG(3,9) are constructed directly, without using the previous computations. That one of the new planes can be constructed by 12-nest replacement is of particular interest.
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