ON SOME PROJECTIVE PLANES OF FINITE ORDER

Volume: 18 Number: 2 August 13, 2010
EN TR

ON SOME PROJECTIVE PLANES OF FINITE ORDER

Abstract

ABSTRACT

In this work, construction methods of projective planes of order 2, 3, 4, 5, 7 and 8 are examined. Informations about the obtaining of known four different planes of order 9 and non-existence of a projective plane of order 10 which is obtained according to computer based calculations are collected.

Keywords

References

  1. Tarry, G., Le Probleme des 36 Officiers, Compte Rendu de I’Association Française pour I’Avancement de Science Naturel, 1: 122-123 (1900).
  2. Tarry, G., Le Probleme des 36 Officiers, Compte Rendu de I’Association Française pour I’Avancement de Science Naturel, 2: 170-203 (1901).
  3. Bruck, R.H., Ryser H.J., “The Non-existence of Certain Finite Projective Planes”, Canadian Journal of Math., 1: 88- 93 (1949).
  4. Batten, L.M., Combinatorics of Finite Geometries. Cambridge University Press, 43-44 (1986).
  5. Kaya, R., Projektif Geometri. Anadolu Üniversitesi Yayınları. No:551. Eskişehir, 112-114 (1992).
  6. Internet: Projective Plane of order 5. http://www.maths.monash.edu.au/~bpolster/pg5.html. (2004).
  7. Beutelspacher, A., 21-6=15: A Connection Between Two Distinguished Geometries, Fachbereich Mathematik der Universitat, Saarstr. 21, D-6500 Mainz, Federal Republic of Germany, 29-40 (1986).
  8. İnternet: Projective Plane of order 4. http://www.win.tue.nl/math/dw/pp/hansc/mathieu/node2.html. (2000).

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

August 13, 2010

Submission Date

August 13, 2010

Acceptance Date

-

Published in Issue

Year 2005 Volume: 18 Number: 2

APA
Akpınar, A. (2010). ON SOME PROJECTIVE PLANES OF FINITE ORDER. Gazi University Journal of Science, 18(2), 315-325. https://izlik.org/JA26DX37UW
AMA
1.Akpınar A. ON SOME PROJECTIVE PLANES OF FINITE ORDER. Gazi University Journal of Science. 2010;18(2):315-325. https://izlik.org/JA26DX37UW
Chicago
Akpınar, Atilla. 2010. “ON SOME PROJECTIVE PLANES OF FINITE ORDER”. Gazi University Journal of Science 18 (2): 315-25. https://izlik.org/JA26DX37UW.
EndNote
Akpınar A (August 1, 2010) ON SOME PROJECTIVE PLANES OF FINITE ORDER. Gazi University Journal of Science 18 2 315–325.
IEEE
[1]A. Akpınar, “ON SOME PROJECTIVE PLANES OF FINITE ORDER”, Gazi University Journal of Science, vol. 18, no. 2, pp. 315–325, Aug. 2010, [Online]. Available: https://izlik.org/JA26DX37UW
ISNAD
Akpınar, Atilla. “ON SOME PROJECTIVE PLANES OF FINITE ORDER”. Gazi University Journal of Science 18/2 (August 1, 2010): 315-325. https://izlik.org/JA26DX37UW.
JAMA
1.Akpınar A. ON SOME PROJECTIVE PLANES OF FINITE ORDER. Gazi University Journal of Science. 2010;18:315–325.
MLA
Akpınar, Atilla. “ON SOME PROJECTIVE PLANES OF FINITE ORDER”. Gazi University Journal of Science, vol. 18, no. 2, Aug. 2010, pp. 315-2, https://izlik.org/JA26DX37UW.
Vancouver
1.Atilla Akpınar. ON SOME PROJECTIVE PLANES OF FINITE ORDER. Gazi University Journal of Science [Internet]. 2010 Aug. 1;18(2):315-2. Available from: https://izlik.org/JA26DX37UW