Large quartic groups on translation planes, I --odd order: Characterization of the Hering planes


Abstract


The Hering planes of order q^2 and the Walker planes of order 5^2 are shown to be the unique classes of planes with spreads in PG(3,q) or PG(3,5), respectively, admitting at least two 'large' quartic groups with distinct centers.

DOI Code: 10.1285/i15900932v23n1p151

Keywords: Quartic group; Translation plane; Hering plane

Classification: 51E23; 51A40

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