A class of two-dimensional translation planes admitting SL(2,5)

Authors

  • Alan R. Prince

DOI:

https://doi.org/10.1285/i15900932v29n1supplp223

Keywords:

Translation planes, nest replacement, SL(2, 5)

Abstract

A class of translation planes of order $q^2$ admitting SL(2,5) is described, constructed from replaceable $A_5$-invariant nests of reguli in a regular spread of PG(3,$q$), where $q$ is odd and $q+1\equiv0$ (mod 5). The translation planes of order $29^2$ in this class are determined.

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Published

20-10-2010

Issue

Volume 29, suppl. 1 (2009)

Section

Articoli

License

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