On the Grassmann space representing the lines of an affine space
In 1982, Bichara and Mazzocca characterized the Grassmann space G r ( 1 , A ) of the lines of an affine space A of dimension at least 3 over a skew-field K by means of the intersection properties of the three disjoint families Σ 1 , Σ 2 and T of maximal singular subspaces of G r ( 1 , A ) . In this...
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Veröffentlicht in: | Discrete mathematics 2012-02, Vol.312 (3), p.699-704 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In 1982, Bichara and Mazzocca characterized the Grassmann space
G
r
(
1
,
A
)
of the lines of an affine space
A
of dimension at least 3 over a skew-field
K
by means of the intersection properties of the three disjoint families
Σ
1
,
Σ
2
and
T
of maximal singular subspaces of
G
r
(
1
,
A
)
. In this paper, we deal with the characterization of
G
r
(
1
,
A
)
using only the family
Σ
=
Σ
1
∪
Σ
2
of maximal singular subspaces. |
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ISSN: | 0012-365X 1872-681X |
DOI: | 10.1016/j.disc.2011.07.021 |