Large quartic groups on translation planes, III-groups with common centers


The 'desirable' planes odd order of Biliotti, Jha, Johnson, Menichetti are shown to be exactly the class of planes that admit two trivially intersecting quartic groups of order q with common centers.

DOI Code: 10.1285/i15900932v24n2p143

Keywords: Quartic group; Translation plane; Ott-Schaeffer plane

Classification: 51E23; 51A40

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