Large quartic groups on translation planes, I --odd order: Characterization of the Hering planes

Authors

  • Mauro Biliotti
  • Vikram Jha
  • Norman L. Johnson

DOI:

https://doi.org/10.1285/i15900932v23n1p151

Keywords:

Quartic group, Translation plane, Hering plane

Abstract

The Hering planes of order $q^2$ and the Walker planes of order $5^2$ are shown to be the unique classes of planes with spreads in $PG(3,q)$ or $PG(3,5)$, respectively, admitting at least two 'large' quartic groups with distinct centers.

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Published

01-01-2004

Issue

Volume 23, Issue 1 (2004)

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