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Lax embeddings of polar spaces in finite projective spaces
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J. A. Thas
Published/Copyright:
August 26, 2008
Abstract
A polar space 
with point set P is laxly embedded in the projective space PG(d, q), d ≥ 2, if the following conditions are satisfied: (i) P is a point set of PG(d, q) which generates PG(d, q), and (ii) each line L of is a subset of a line L′ of (d, q), and distinct lines L1, L2 of define distinct lines L′1, L′2 of PG(d, q). In this paper we determine all polar spaces of rank at least three which are laxly embedded in PG(d, q), where d ≥ 4 if is isomorphic to the polar space W(2m + 1, s), m ≥ 2 and s odd, arising from a symplcctic polarity in PG(2m + 1, s), and where d ≥ 3 in all other cases. Laxly embedded generalized quadrangles were considered in a foregoing paper.
Received: 1997-11-07
Published Online: 2008-08-26
Published in Print: 1999-May
© de Gruyter 1999
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Articles in the same Issue
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
Articles in the same Issue
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
