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A class of two-dimensional translation planes admitting 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.

DOI Code: 10.1285/i15900932v29n1supplp223

Keywords:
Translation planes; nest replacement; SL(2,5)

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