Orbit constructions for translation planes of order 81 admitting $SL(2,5)$

Authors

  • Norman L. Johnson
  • Alan R. Prince

DOI:

https://doi.org/10.1285/i15900932v24n2p41

Keywords:

Spread, $SL(2, 5)$ elation group, Baer group

Abstract

The authors have classified all translation planes of order 81 that admit $SL(2,5)$, where the 3-elements are elations, with the use of the computer. In this article, it is shown that the spreads in $PG(3,9)$ may be obtained directly from the group $SL(2,5)$. In the process, there is a construction of a replaceable 12-nest of reguli of a Desarguesian plane.

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Published

25-10-2005

Issue

Volume 24, Issues 2 (2005)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode