Research Article

On Algorithm Constructing Baer Subplanes of Hall plane

Volume: 9 Number: 2 October 15, 2021
EN

On Algorithm Constructing Baer Subplanes of Hall plane

Abstract

In this study, we construct an algorithm (implemented in C) to determine Baer subplanes of the projective plane of order 9 coordinatized by elements of a left nearfield of order 9 and classify these subplanes. Also, affine planes embedded in Baer subplanes are determined.

Keywords

References

  1. Z.Akca, S.Ekmekci and A.Bayar, On Fano Configurations of the Left Hall Plane of order 9, Konuralp journal of mathematics, 4, 2, 116-123, 2016.
  2. A.Bayar, Z.Akca, E. Altintas and S. Ekmekci. On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Science, 4(4), 266-266., 2016. 10.20852/ntmsci.2016.113 .
  3. R. H. Bruck, Difference Sets in a Finite Group, Trans, Amer. Math. Soc., 464-481, 1955.
  4. S. Ekmekci, A.Bayar, E. Altintas, Z.Akca, On the Complete (k,2)- Arcs of the Hall Plane of Order 9, International Journal of Advanced Research in Computer Science and Software Engineering, 6, 10, 282-288, 2016.
  5. M. Hall, The theory of groups , New York : Macmillan 1959.
  6. M. Hall, Jr. J.D. Swift and R. Killgrove, On projective planes of order nine, Math.Tables and Other Aids Comp. 13, 233-246, 1959.
  7. J.W.P. Hirschfeld, Projective geometries over finite fields, Second Edition, Clarendon Press, Oxford, 1998.
  8. J.W.P. Hirschfeld and J.A. Thas, General Galois Geometries, Springer Monographs in Mathematics, Springer- Verlag London 2016.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ayşe Bayar
Türkiye

Publication Date

October 15, 2021

Submission Date

June 15, 2021

Acceptance Date

October 5, 2021

Published in Issue

Year 2021 Volume: 9 Number: 2

APA
Altıntaş, E., & Bayar, A. (2021). On Algorithm Constructing Baer Subplanes of Hall plane. Konuralp Journal of Mathematics, 9(2), 342-345. https://izlik.org/JA54XM53DX
AMA
1.Altıntaş E, Bayar A. On Algorithm Constructing Baer Subplanes of Hall plane. Konuralp J. Math. 2021;9(2):342-345. https://izlik.org/JA54XM53DX
Chicago
Altıntaş, Elif, and Ayşe Bayar. 2021. “On Algorithm Constructing Baer Subplanes of Hall Plane”. Konuralp Journal of Mathematics 9 (2): 342-45. https://izlik.org/JA54XM53DX.
EndNote
Altıntaş E, Bayar A (October 1, 2021) On Algorithm Constructing Baer Subplanes of Hall plane. Konuralp Journal of Mathematics 9 2 342–345.
IEEE
[1]E. Altıntaş and A. Bayar, “On Algorithm Constructing Baer Subplanes of Hall plane”, Konuralp J. Math., vol. 9, no. 2, pp. 342–345, Oct. 2021, [Online]. Available: https://izlik.org/JA54XM53DX
ISNAD
Altıntaş, Elif - Bayar, Ayşe. “On Algorithm Constructing Baer Subplanes of Hall Plane”. Konuralp Journal of Mathematics 9/2 (October 1, 2021): 342-345. https://izlik.org/JA54XM53DX.
JAMA
1.Altıntaş E, Bayar A. On Algorithm Constructing Baer Subplanes of Hall plane. Konuralp J. Math. 2021;9:342–345.
MLA
Altıntaş, Elif, and Ayşe Bayar. “On Algorithm Constructing Baer Subplanes of Hall Plane”. Konuralp Journal of Mathematics, vol. 9, no. 2, Oct. 2021, pp. 342-5, https://izlik.org/JA54XM53DX.
Vancouver
1.Elif Altıntaş, Ayşe Bayar. On Algorithm Constructing Baer Subplanes of Hall plane. Konuralp J. Math. [Internet]. 2021 Oct. 1;9(2):342-5. Available from: https://izlik.org/JA54XM53DX
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