Semifield planes of order p 4 and kernel GF(p 2) |
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Authors: | Minerva Cordero |
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Affiliation: | (1) Department of Mathematics, The University of Texas at Arlington, Arlington, Texas 76019, USA |
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Abstract: | In this article we determine the number of non-isomorphic semifield planes of order p4 and kernel GF(p2) for p prime, 3 ≤ p ≤ 11. We show that for each of these values of p, the plane is either desarguesian, p-primitive, or a generalized twisted field plane. We also show that the class of p-primitive planes is the largest. We also discuss the autotopism group of the semifields under study. |
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Keywords: | 51E15 51A40 05B25 17A35 |
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