Symplectic spreads and symplectically paired spreads

Authors

  • Norman L. Johnson
  • Oscar Vega

DOI:

https://doi.org/10.1285/i15900932v26n2p119

Keywords:

Translation planes, Symplectic spreads, Affine homologies, Symplectically paired spreads

Abstract

If ? is a finite symplectic translation plane, it is shown that any affine homology group is cyclic and has order dividing the order of the kernel homology group. This criterion provides a means to ensure that a given spread is not symplectic. Furthermore, a variety of symplectically paired André spreads are constructed.

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Published

01-10-2006

Issue

Volume 26, Issue 2 (2006)

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