Generalized quadrangles weakly embedded of degree 2 in projective space
نویسندگان
چکیده
منابع مشابه
Generalized Quadrangles Weakly Embedded of Degree 2 in Projective Space
In this paper, we classify all generalized quadrangles weakly embedded of degree 2 in projective space. More exactly, given a (possibly infinite) generalized quadrangle Γ = (P,L, I ) and a map π from P (respectively L) to the set of points (respectively lines) of a projective space PG(V ), V a vector space over some skew field (not necessarily finite-dimensional), such that: (i) π is injective ...
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We investigate generalized quadrangles Γ that admit at least two projective axes of symmetry. We show that if there are three such axes incident with a common point x, then x is a translation point of Γ. In case that Γ is moreover a compact connected quadrangle with topological parameters (p, p), p ∈ N, then Γ is a topological translation generalized quadrangle. We further investigate the case ...
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We show that every embedded finite thick generalized hexagon J£" of order (s, t) in PG(n, q) which satisfies the conditions (0 s = q, (ii) the set of all points of J f generates PG(n, q), (iii) for any point x of Jf, the set of all points collinear in Jtf with x is contained in a plane of PG(n,q), (iv) for any point x of Jif, the set of all points of J f not opposite x in J f is contained in a ...
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In this paper we are concerned with classical polar spaces, i. e. with the set of points and lines of some vector space W on which a non–degenerate (σ, )-hermitian form or pseudo-quadratic form vanishes. To state the Main Theorem we introduce some notation. Let L be a division ring and W be a (left–)vector space over L endowed with a (σ, )–hermitian form or a pseudo–quadratic form q (with assoc...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2000
ISSN: 0030-8730
DOI: 10.2140/pjm.2000.193.227