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Reguli and pseudo-reguli in PG(3, s 2)

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Bibliography

  1. Barlotti, A., ‘Representation and Construction of Projective Planes and other Geometric Structures from Projective Spaces’. Jber. Deutsch. Math.-Verein. 77, H. 1 (1975) 28–38.

    Google Scholar 

  2. Bose, R. C., ‘On a Representation of the Baer subplanes of the Desarguesian Plane PG(2, q2) in a Projective Five Dimensional Space PG(5, q)’. Proc. Inter. Colloq. on Comb. Theory held in Rome, Sept. 3–15, 1973, 381–391.

  3. Bruck, R. H., ‘Construction Problems of Finite Projective Planes’, Proceedings of the conference in combinatorics held at the Univ. of North Carolina at Chapel Hill, April 10–14, 1967, Univ. N.C. Press, 1969.

  4. Bruck, R. H., Bose, R. C., ‘Linear representations of projective planes in projective spaces’, J. Alg. 4 (1966), 117–172.

    Google Scholar 

  5. Bruen, A., ‘Partial Spreads and Replaceable Nets’, Can. J. Math., 23 (1971), 381–392.

    Google Scholar 

  6. Bruen, A., ‘Spreads and a conjecture of Bruck and Bose’, J. Alg. 23 (1972), 519–537.

    Google Scholar 

  7. Bruen, A., Thas, J. A., ‘Partial Spreads, Packings and Hermitian Manifolds in PG(3, q)’, Math. Zeit. 151 (1976), 207–214.

    Google Scholar 

  8. Cofman, J., ‘Baer Subplanes in Finite Projective and Affine planes’, Can. J. Math. 23 (1972), 90–97.

    Google Scholar 

  9. Cofman, J., ‘On Combinatorics of finite projective spaces’, Proc. Inter. Conf. on Proj. Planes (ed. by M. J. Kallaher and T. G. Ostrom), Wash. St. Univ. Press (1973), 59–70.

  10. Coxeter, H. M. S., ‘Projective Line Geometry’, Math. Notae Boletin del institute de Math., (1962) 197–216.

  11. Dembowski, P., Finite Geometries, Springer-Verlag, New York 1968.

    Google Scholar 

  12. Foulser, D., ‘Subplanes of partial spreads in translation planes’. Bull. Lond. Math. Soc. 4 (1972) 32–38.

    Google Scholar 

  13. Freeman, J. W., ‘A representation of the Baer subplanes of PG(2, q 2) in PG(5, q) and properties of a regular spread of PG(5, q)’, Proc. Inter. Conf. on proj. planes (ed. M. J. Kallaher and T. G. Ostrom). Wash. St. Univ. Press (1973) 91–98.

  14. Mesner, D. M., ‘Sets of disjoint lines in PG(3, q)’, Can. J. Math. 19 (1967), 273–280.

    Google Scholar 

  15. Segre, B., ‘Teoria di Galois, fibrazioni proiettive e geometrie non desarguesiane’, Ann. Math. Pura Appl. 64 (1964), 1–76.

    Google Scholar 

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Freeman, J.W. Reguli and pseudo-reguli in PG(3, s 2). Geom Dedicata 9, 267–280 (1980). https://doi.org/10.1007/BF00181172

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  • DOI: https://doi.org/10.1007/BF00181172

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