Translation planes admitting a linear Abelian group of order $(q+1)^2$.

Authors

  • Esteban Diaz
  • Oscar Vega

DOI:

https://doi.org/10.1285/i15900932v29n1supplp59

Keywords:

Translation plane, flock of quadratic cone, homologies

Abstract

Translation planes of order $q^2$ and spread in $PG(3,q)$, where $q$ is an odd prime power and $q^2-1$ has a $p$-primitive divisor, that admit a linear Abelian group of order $(q+1)^2$ containing at most three kernel homologies are shown to be associated to flocks of quadratic cones.

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Published

20-10-2010

Issue

Volume 29, suppl. 1 (2009)

Section

Articoli

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