Mixed partitions of PG(3,q) |
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Authors: | Keith E. Mellinger |
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Affiliation: | Department of Mathematics, Mary Washington College, 1301 College Avenue, Trinkle Hall, Fredericksburg, VA 22401, USA |
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Abstract: | A mixed partition of PG(2n−1,q2) is a partition of the points of PG(2n−1,q2) into (n−1)-spaces and Baer subspaces of dimension 2n−1. In (Bruck and Bose, J. Algebra 1 (1964) 85) it is shown that such a mixed partition of PG(2n−1,q2) can be used to construct a (2n−1)-spread of PG(4n−1,q) and hence a translation plane of order q2n. In this paper, we provide several new examples of such mixed partitions in the case when n=2. |
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Keywords: | Partitioning Spreads Baer subspaces |
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