Nearly all subspaces of a classical polar space arise from its universal embedding
نویسندگان
چکیده
Let Γ be an embeddable non-degenerate polar space of finite rank n≥2. Assuming that admits the universal embedding (which is true for all spaces except grids order at least 5 and certain generalized quadrangles defined over quaternion division rings), let ε:Γ→PG(V) Γ. S a subspace suppose S, regarded as space, has 2. We shall prove ε-preimage projective PG(V).
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2021
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.06.013