Abstract
In the space Ir of the invariant r-dimensional subspaces of a null system in (2r +1)-dimensional projective space, W.L. Chow characterized the basic group of transformations of Ir as all the transformations φ: Ir → Ir which are bijective and such that φ and φ−1 preserve adjacency. In the present paper we examine arbitrary mappings φ of Ir which satisfy the two conditions: 1. φ preserves adjacency. 2. For any a ∈ Ir there exists b ∈ Ir such that aφ ∩ bφ = ø.
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Dedicated to S.S.Chern on the occasion of his 90th birthday
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Huang, Wl. Characterization of the Transformation Group of the Space of a Null System. Results. Math. 40, 226–232 (2001). https://doi.org/10.1007/BF03322707
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DOI: https://doi.org/10.1007/BF03322707