On the Embedding of an Arc into Cubic Curves in a Finite Projective Plane of Order Seven

Najm A. M. Al-Seraji, Raad Ibrahim kute

Abstract


The main aims of this research are to find the stabilizer groups of cubic curves over a finite field of order 7 and studying the properties of their groups and then constructing the arcs of degree 2 which are embedding in cubic curves of even size which are considering as the arcs of degree 3. Also drawing all these arcs.


Full Text:

PDF

References


J. W. P. Hirschfeld, "Projective geometries over finite fields", 2nd Edition, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1980.

N. A. M. Al-Seraji, "The Geometry of The Plane of order Seventeen and its Application to Error-correcting codes", Ph.D. Thesis, University of Sussex , UK, 2010.

E. M. Al-Zangana, "The Geometry of The Plane of order nineteen and its application to error-correcting codes", Ph. D. Thesis, University of Sussex, United Kingdom, 2011.

E. M. Al-Zangana, "On Non-Singular Plane Cubic Curves over F_q ,q=2,3,5,7" College of education J.No.1, 2013.

E. M. Al-Zangana,"Complete and Incomplete Elliptic curves over the finite field of order 11 and 13", Al-Mustansiriyah Journal of Science, Vol.24 ,No 1, 2013.

A. D. Thomas and G. V. Wood,"Group tables", Shiva Mathematics Series, Series 2, Devon print Group , Exeter , Devon , UK, 1980.




DOI: http://dx.doi.org/10.23851/mjs.v30i1.527

Refbacks

  • There are currently no refbacks.


Copyright (c) 2019 Al-Mustansiriyah Journal of Science

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.


Copyright (c) 2018 by Al-Mustansiriyah Journal of Science
ISSN: 1814-635X (Print), ISSN: 2521-3520 (online)