IJPAM: Volume 94, No. 2 (2014)

ON COMPLETE ARCS OF THE RIGHT NEARFIELD
PLANE OF ORDER 9

Anna Sharafutdinova
Department of Mathematics and Physics
Chelyabinsk State Pedagogical University
Lenin Avenue 69, Chelyabinsk, 454080, RUSSIA


Abstract. We describe a method to find complete arcs in the right nearfield plane of order 9 based on the duality of right and left nearfield planes. By applying this method to the right nearfield plane of order 9, we were able to achieve a complete listing of all its complete $k$-arcs, up to isomorphism.

Received: April 1, 2014

AMS Subject Classification: 05B25, 51E15

Key Words and Phrases: automorphism group, isomorphism, $k$-arc, $k$-lateral, the left nearfield plane, the right nearfield plane

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DOI: 10.12732/ijpam.v94i2.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 2
Pages: 233 - 239

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).