Glasnik Matematicki, Vol. 43, No.2 (2008), 231-242.

THE QUASIREGULAR PROJECTIVE PLANES OF ORDER 16

Marc Röder

Department of Mathematics, National University of Ireland, University Road, Galway, Ireland
e-mail: marc.roeder@nuigalway.ie

Abstract.   The projective planes of order 16 admitting a large (≥ 137) quasiregular group of collineations are classified. The classification is done using the theorem of Dembowski and Piper and a complete search by computer. No new planes are found.

2000 Mathematics Subject Classification.   05B10, 05B25.

Key words and phrases.   Projective planes, relative difference sets, quasiregular group of collineations, complete computer search.

Full text (PDF) (free access)

DOI: 10.3336/gm.43.2.01

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