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On the existence of semifields of prime power order admitting free automorphism groups
Authors:Mashhour Al-Ali Bani-Ata  Christoph Hering  Anni Neumann  Aymen Rawashdeh
Institution:(1) Department of Mathematics, Mu’tah University, Al-Karak, Jordan;(2) Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany
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.
Keywords:51E15  51A40  05B25  17A35
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