International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Mandak A.  

A construction weighted projective plane of order 9 and (2, 9 – 1)-quasigroup

We introduce a notion of weighted projective planes which is a generalization of usual projective planes. We prove that a Frobenius group G of order 20 operates on a projective plane P of order 9 as a colineation group. Using this operation the plane P may be constructed. A weighted projective plane P’ of order 9 is equivalent to a totally symmetric (2, 9 – 1) -quasigroup.

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