International Conference «Mathematical and Informational Technologies, MIT-2013»

(X Conference «Computational and Informational Technologies for Science,

Engineering and Education»)

## Mandak A.## A construction weighted projective plane of order 7 and (2, 7 –1)- quasigroupWe introduce a notion of weighted projective planes which is a generalization of usual projective planes. We prove that a Frobenius group G of order 16 operates on a projective plane P of order 7 as a colineation group. Using this operation the plane P may be constructed. A weighted projective plane P’ of order 7 is equivalent to a totally symmetric (2, 7 – 1)-quasigroup.
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