2019
Том 71
№ 1

All Issues

Medvedev V. K.

Articles: 4
Article (Russian)

Configurations in finite projective planes

Medvedev V. K.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1345–1359

We find necessary conditions that should be imposed on a number n for the existence of an arbitrary configuration in at least one finite projective plane of order n.

Article (Ukrainian)

Coordinate system and combinatorial objects (an example of a generalized quadrangle)

Medvedev V. K.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 516–523

By using a generalized quadrangle as an example, we verify the assumption that coordinate systems (different from the standard Cartesian coordinate system) exist not only in an arbitrary projective plane, where they are determined by a nondegenerate quadrangle, but also in some other combinatorial objects.

Article (Ukrainian)

Construction of finite ternary rings

Medvedev V. K.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 10. - pp. 1313–1318

Article (Ukrainian)

Analog of a ternary ring for generalized polygons

Medvedev V. K.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1239–1244