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
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In [5] M. Biliotti, V. Jha and N. Johnson were able to completely determine the autotopism group of a generalized twisted field as a subgroup of ΓL(K) × ΓL(K), where K = GF(pⁿ) and ΓL(K) is the group of nonsingular semilinear transformations over K. In this article, we consider the Cordero-Figueroa semifield of order 3⁶, which is not a generalized twisted field, and we prove that its autotopism group is isomorphic to a subgroup of ΓL(K) × ΓL(K), where K = GF(3⁶).
Keywords:
finite presemifield, finite semifield, autotopism, autotopism group
@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/