A Geometric Relationship Between Equivalent Spreads |
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Authors: | Keith E Mellinger |
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Institution: | (1) Department of Mathematics, Mary Washington College, 1301 College Avenue, Fredricksburg, VA, 22401 |
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Abstract: | By Andrè theory, it is well known how to algebraically convert a spread in a projective space to an equivalent spread (representing the same translation plane) in a projective space of different dimension and of different order (corresponding to a subfield of the kernel). The goal of this paper is to establish a geometric connection between any two such equivalent spreads by embedding them as subspaces and subgeometries of an ambient projective spaces. The connection can be viewed as a generalization of a construction due to Hirschfeld and Thas. |
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Keywords: | spreads Baer subspaces translation planes |
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