On the existence of semifields of prime power order admitting free automorphism groups |
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Authors: | Mashhour Al-Ali Bani-Ata Christoph Hering Anni Neumann Aymen Rawashdeh |
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Affiliation: | (1) Department of Mathematics, Mu’tah University, Al-Karak, Jordan;(2) Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany |
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Abstract: | The purpose of this paper is to prove the existence of semifields of order q 4 for any odd prime power q = pr, q > 3, admitting a free automorphism group isomorphic to Z 2 × Z 2. |
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Keywords: | 51E15, 51A40 05B25, 17A35 |
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