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ArticleOriginal scientific text

Title

On the autotopism group of the Cordero-Figueroa semifield of order 3⁶

Authors 1, 2, 3

Affiliations

  1. University of Puerto Rico, Río Piedras Campus, Mathematics Deparment, P.O. Box 70377, San Juan, PR 00936 - 8377, USA
  2. University of Puerto Rico, Río Piedras Campus, Mathematics Deparment, P.O. Box 70377, San Juan, PR 00936 - 8377, USA,
  3. University of Puerto Rico, Cayey Campus, Mathematics and Physics Deparment, 205 Calle Antonio R. Barcel´o, Cayey, PR 00736, USA

Abstract

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

ENG
finite presemifield, finite semifield, autotopism, autotopism group

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2016/36/1
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Pages:
117-126
Main language of publication
English
Received
2016-06-15
Accepted
2016-04-17
Published
2016

DOI: 10.7151/dmgaa.1250

Exact and natural sciences