Some New Replaceable Translation Nets
Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 225-237

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We discuss partial spreads (translation nets) U, V of ∑ = PG(3, q) where U, V cover the same points of ∑ and have no lines in common. Write t = |U| = |V|. It has been shown in a previous paper [4] that t ≧ 2(g — 1) provided q + 4.
Bruen, A. A. Some New Replaceable Translation Nets. Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 225-237. doi: 10.4153/CJM-1977-024-x
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[1] 1. Bruck, R. H., Construction problems of finite projective planes, Proceedings of the conference in combinatorics held at the University of North Carolina at Chapel Hill, April 10–14, 1967 (University of North Carolina Press, 1969). Google Scholar

[2] 2. Bruen, A., Spreads and a conjecture of Bruck and Bose, J. of Algebra 23 (1972), 519–537. Google Scholar

[3] 3. Bruen, A. Partial spreads and replaceable nets, Can. J. Math. 23 (1971), 381–391. Google Scholar

[4] 4. Bruen, A. and Silverman, R., Switching sets in PG﹛3, q), Proc. Amer. Math. Soc. 43 (1974), 176–180. Google Scholar

[5] 5. Foulser, D. A., Replaceable translation nets, Proc. London Math. Soc. 22 (1971), 235–264. Google Scholar

[6] 6. Hirschfeld, J. W. P., The double-six of lines over PG(3, 4), J. Aus. Math. Soc. 4 (1964), 83–89. Google Scholar

[7] 7. Johnson, N. L., A note on semi-translation planes of class I-5a, Archiv. Der Math. 21 (1970), 528–532. Google Scholar

[8] 8. Kleinfeld, E., Techniques for enumerating Veblen-Wedderburn systems, J. Assoc. Comput. Mach. 7 (1960), 330–337. Google Scholar

[9] 9. Pellegrino, G., Procedimenti geometrici per la costruzione di alcune classi di calotte complete in Sr,3, Bolletino U. M. I. 5 (1972), 109–115. Google Scholar

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