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The quasiregular projective planes of order 16. (English) Zbl 1151.05007
Summary: The projective planes of order 16 admitting a large ($$\geq 137$$) quasiregular group of collineations are classified. The classification is done using the theorem of P. Dembowski and F. Piper [Math. Z. 99, 53–75 (1967; Zbl 0145.41003)] and a complete search by computer. No new planes are found.

MSC:
 05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) 05B25 Combinatorial aspects of finite geometries 51E15 Finite affine and projective planes (geometric aspects)
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