We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of any order. The proof is obtained by constructing some new S-spaces in two different ways. In one case we obtain S-spaces of finite order containing an infinite number of points, while in the other case we obtain S-spaces of infinite order
Free extensions are often used in geometry to show the existence of models for a given theory and to...
A set of type $(m,n)$ is a set $\mathcal K$ of points of a planarspace with the property that each...
AbstractA subset S of a complex projective space is F-regular provided each two points of S have the...
We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of...
AbstractA π-space is a planar space all of whose planes are isomorphic to a given linear space π. Th...
This paper extends to any rank n a previous classification result [4, 5], on rank 3 geometries with ...
AbstractA π-space is a planar space all of whose planes are isomorphic to a given linear space π. Ex...
AbstractA semiaffine space will be defined as an incidence space in which each plane is a semiaffine...
In this paper we improve on a result of Beutelspacher, De Vito & Lo Re, who characterized in 1995 fi...
An h-semiaffine plane is a linear space with the following property: For any non-incident point-line...
AbstractThe finite planar spaces containing at least one pair of planes intersecting in exactly one ...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
AbstractIn this note, we characterize finite three-dimensional affine spaces as the only linear spac...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
Let S be a finite linear space for which there is a non-negative integer s such that for any two dis...
Free extensions are often used in geometry to show the existence of models for a given theory and to...
A set of type $(m,n)$ is a set $\mathcal K$ of points of a planarspace with the property that each...
AbstractA subset S of a complex projective space is F-regular provided each two points of S have the...
We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of...
AbstractA π-space is a planar space all of whose planes are isomorphic to a given linear space π. Th...
This paper extends to any rank n a previous classification result [4, 5], on rank 3 geometries with ...
AbstractA π-space is a planar space all of whose planes are isomorphic to a given linear space π. Ex...
AbstractA semiaffine space will be defined as an incidence space in which each plane is a semiaffine...
In this paper we improve on a result of Beutelspacher, De Vito & Lo Re, who characterized in 1995 fi...
An h-semiaffine plane is a linear space with the following property: For any non-incident point-line...
AbstractThe finite planar spaces containing at least one pair of planes intersecting in exactly one ...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
AbstractIn this note, we characterize finite three-dimensional affine spaces as the only linear spac...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
Let S be a finite linear space for which there is a non-negative integer s such that for any two dis...
Free extensions are often used in geometry to show the existence of models for a given theory and to...
A set of type $(m,n)$ is a set $\mathcal K$ of points of a planarspace with the property that each...
AbstractA subset S of a complex projective space is F-regular provided each two points of S have the...
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