On rank 2 geometries of the Mathieu group .
On Rank 3 Projective Designs.
On rank 4 projective planes.
On rank 5 projective planes.
On rational Morley triangles
On Rusakov’s -ary -groups
Properties of -ary groups connected with the affine geometry are considered. Some conditions for an -ary -group to be derived from a binary group are given. Necessary and sufficient conditions for an -ary group -derived from an additive group of a field to be an -group are obtained. The existence of non-commutative -ary -groups which are not derived from any group of arity for every , is proved.
On S. Gołąb's characterization of the anharmonic ratio
On Schläfli's reduction formula.
On Schur-Ostrowski type theorems for group majorizations.
On sets of vectors of a finite vector space in which every subset of basis size is a basis
It is shown that the maximum size of a set of vectors of a -dimensional vector space over , with the property that every subset of size is a basis, is at most , if , and at most , if , where and is prime. Moreover, for , the sets of maximum size are classified, generalising Beniamino Segre’s “arc is a conic” theorem. These results have various implications. One such implication is that a matrix, with and entries from , has columns which are linearly dependent. Another is...
On small dense sets in Galois planes.
On some flag-transitive non-classical -geometries. II.
On some hyperbolic planes from finite projective planes.
On some properties of a class of geometrical figures.
On some properties of the metric dimension
On Squashed Designs.
On swell-colored complete graphs.
On Ternary Rings of Derivable Planes.
On the area discrepancy of triangulations of squares and trapezoids.
On the area of a polygon in the hyperbolic plane.