International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

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.

Full text file: Mandak A.doc

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