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@article{DMGAA_2016_36_1_a9, author = {Mel\'endez, Walter and Figueroa, Raul and Delgado, Mois\'es}, title = {On the autotopism group of the {Cordero-Figueroa} semifield of order 3⁶}, journal = {Discussiones Mathematicae. General Algebra and Applications}, pages = {117--126}, publisher = {mathdoc}, volume = {36}, number = {1}, year = {2016}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a9/} }
TY - JOUR AU - Meléndez, Walter AU - Figueroa, Raul AU - Delgado, Moisés TI - On the autotopism group of the Cordero-Figueroa semifield of order 3⁶ JO - Discussiones Mathematicae. General Algebra and Applications PY - 2016 SP - 117 EP - 126 VL - 36 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a9/ LA - en ID - DMGAA_2016_36_1_a9 ER -
%0 Journal Article %A Meléndez, Walter %A Figueroa, Raul %A Delgado, Moisés %T On the autotopism group of the Cordero-Figueroa semifield of order 3⁶ %J Discussiones Mathematicae. General Algebra and Applications %D 2016 %P 117-126 %V 36 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a9/ %G en %F DMGAA_2016_36_1_a9
Meléndez, Walter; Figueroa, Raul; Delgado, Moisés. On the autotopism group of the Cordero-Figueroa semifield of order 3⁶. Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 117-126. http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a9/
[1] A.A. Albert, Generalized twisted fields, Pacific J. Math,11,1961, 1-8. doi: 10.2140/pjm.1961.11.1
[2] A.A. Albert, On nonassociative division algebras, TAMS,72,1952, 296-309. doi: 10.1090/S0002-9947-1952-0047027-4
[3] A.A. Albert, Finite division algebras and finite planes, Proc. Sympos. Appl. Math.,10,1960, 53-70. doi: 10.1090/psapm/010/0116036
[4] J. Bierbrauer, Projective polynomials, a projection construction and a family of semifields, Designs, Codes and Cryptography,79,2016, 183-200. doi: 10.1007/s10623-015-0044-z
[5] M. Biliotti, V. Jha and N. Johnson, The collineation groups of generalized twisted field planes, G. Dedicata,76,1999, 91-126.
[6] N. Jhonson, V. Jha and M. Biliotti, Handbook of finite translation planes, Boca Raton: Chapman Hall/CRC,2007.
[7] M. Cordero and R. Figueroa, Towards a characterization of the generalized twisted field planes, J. Geom. 52 1995, 54-63. doi: 10.1007/BF01406826
[8] Coulter,R.S. Coulter, M. Henderson and P. Kosick, Planar polynomials for conmutative semifields with specified nuclei, Des. Codes Cryptogr. 44 2007, 275-286.
[9] L.E. Dickson, Linear algebras in which division is always uniquely possible, Trans. Amer. Math. Soc. 7 1906, 370-390. doi: 10.1090/S0002-9947-1906-1500755-5
[10] R. Figueroa, A characterization of the generalized twisted field planes of characteristic ≥ 5, Geom. Dedicata 50 1994, 205-216. doi: 10.1007/BF01265311
[11] D.R. Hughes and F.C. Piper, Projective Planes, NewYork, 1973.
[12] D. E. Knuth, Finite semifields and projective planes, J. Algebra 2 1965, 182-217. doi: 10.1016/0021-8693(65)90018-9
[13] M. Lavrauw, On the isotopism classes of finite semifields, Finite Fields and Their Applications 14 2008, 897-910. doi: 10.1016/j.ffa.2008.05.002