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Original Articles

The Multiplicative Automorphisms of a Finite Nearfield, with an Application

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Pages 2336-2350 | Received 26 Jan 2015, Published online: 29 Apr 2016

REFERENCES

  • Aichinger, E., Binder, F., Ecker, J., Mayr, P., Nöbauer, C. (2012). SONATA - system of near-rings and their applications, GAP package, Version 2.6. Available at http://www.algebra.uni-linz.ac.at/Sonata/
  • André, J. (1974). Lineare Algebra über Fastkörpern. Math. Z. 136:295–313.
  • Boykett, T., Wendt, G. (2015). Units in near-rings. Comm. Alg. In Press.
  • The GAP Group (2015). GAP – Groups, Algorithms, and Programming, Version 4.6.9, http://www.gap-system.org
  • Golasiński, M., Gonçalves, D. (2005). Spherical space forms—homotopy types and self-equivalences for the groups ℤ/a ⋊ ℤ/b and ℤ/a ⋊ (ℤ/b × ℚ2i). Topology Appl. 146/147:451–470.
  • Golasiński, M., Gonçalves, D. (2009). On automorphisms of split metacyclic groups. Manuscripta Math. 128:251–273.
  • Howell, K.-T. (2008). Contributions to the Theory of Near-Vector Spaces, Ph.D.-dissertation, University of the Free State.
  • Howell, K.-T., Meyer, J. H. (2010). Finite dimensional near-vector spaces over fields of prime order. Communications in Algebra 38:86–93.
  • Howell, K.-T., Meyer, J. H. (2014). Near-vector spaces determined by finite fields. Journal of Algebra 398:55–62.
  • Pilz, G. (1983). Near-Rings: The Theory and Its Applications. Revised Edition. Mathematics Studies, Vol. 23. New York: North Holland.
  • Rips, E., Segev, Y., Tent, K. (2014). A sharply 2-transitive group without a non-trivial abelian normal subgroup, arXiv:1406.0382 [math.GR].
  • Tucker, A. (1995). Applied Combinatorics. 3rd ed. John Wiley and Sons.
  • van der Walt, A. P. J. (1992). Matrix near-rings contained in 2-primitive near-rings with minimal subgroups. J. Algebra 148:296–304.
  • Wähling, H. (1987). Theorie der Fastkörper. Thales Monographs, Vol. 1. Essen: Thales-Verlag.
  • Zassenhaus, H. (1935). Über endliche Fastkörper. Abh. Math. Sem. Univ. Hamburg 11(1):187–220.

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