Mandak A.  

A construction weighted projective plane of order 7 and (2, 7 –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 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.