On the autotopism group of the Cordero-Figueroa semifield of order 3⁶
Walter Meléndez ; Raul Figueroa ; Moisés Delgado
Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016), p. 117-126 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286909 
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     title = {On the autotopism group of the Cordero-Figueroa semifield of order 36},
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     year = {2016},
     pages = {117-126},
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Walter Meléndez; Raul Figueroa; Moisés Delgado. On the autotopism group of the Cordero-Figueroa semifield of order 3⁶. Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016) pp. 117-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1250/

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