A class of two-dimensional translation planes admitting SL(2,5)
Abstract
A class of translation planes of order
admitting SL(2,5) is described, constructed from replaceable
-invariant nests of reguli in a regular spread of PG(3,
), where
is odd and
(mod 5). The translation planes of order
in this class are determined.
![q^2](http://212.189.136.205/plugins/generic/latexRender/cache/16db377156b6a727777f391bcbe853c0.png)
![A_5](http://212.189.136.205/plugins/generic/latexRender/cache/dcf0f6e209b107faa69e6e343be66191.png)
![q](http://212.189.136.205/plugins/generic/latexRender/cache/7694f4a66316e53c8cdd9d9954bd611d.png)
![q](http://212.189.136.205/plugins/generic/latexRender/cache/7694f4a66316e53c8cdd9d9954bd611d.png)
![q+1\equiv0](http://212.189.136.205/plugins/generic/latexRender/cache/f643574d083a0c2bb80b55a3a381daf8.png)
![29^2](http://212.189.136.205/plugins/generic/latexRender/cache/3702b2c81c5f2aae350a18a5fc506659.png)
DOI Code:
10.1285/i15900932v29n1supplp223
Keywords:
Translation planes; nest replacement; SL(2,5)
Translation planes; nest replacement; SL(2,5)
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