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Combinatorial Mathematics X pp 375–391Cite as

Baer subspaces in the n dimensional projective space

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1036))

Abstract

Baer subplanes are subplanes of order q of a projective plane of order q2. Their intersection configurations are well known. The concept of Baer subplanes is extended to n dimensions and two dimensional results are generalised to Baer subspaces of PG(n,q2).

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References

  1. J. Cofman, Baer subplanes in finite projective and affine planes, Can. J. Math., vol. XXIV, No. 1, (1972).

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  2. R.C. Bose, J.W. Freeman and D.G. Glynn, On the intersection of two Baer subplanes in a finite projective plane, Utilitas Mathematica, 17, (1980), 65–77.

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  3. M. Sved, On configurations of Baer subplanes of the projective plane over GF(q2), Combinatorial Mathematics Proc. Brisbane Australia, (1981), 423–443.

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  4. Marshall Hall Jr., Combinatorial Theory, Blaesdel, 1967, 128–131.

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  5. G.E. Andrews, The theory of partitions, Enc. of Mathematics and its Applications, 2, (1976), 212–213.

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Authors
  1. Marta Sved
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Louis Reynolds Antoine Casse

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© 1983 Springer-Verlag

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Sved, M. (1983). Baer subspaces in the n dimensional projective space. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071531

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  • DOI: https://doi.org/10.1007/BFb0071531

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12708-6

  • Online ISBN: 978-3-540-38694-0

  • eBook Packages: Springer Book Archive

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