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Twenty-Seven Element Albertian Semifields, Thomas Joel Hughes

Open Access Theses & Dissertations

In 1958 Abraham Adrian Albert published his findings on the now famous class of semifields known as twisted fields or, as we refer to them in this Thesis, Albertian semifields. Since the publication of his findings, interest in the topic of semifields has grown and, naturally, some progress has been made in the subject, but there is still much to be studied. Moreover, the greater portion of modern efforts have been made to develop a theory of semifields, with less attention paid to more practical considerations. In this Thesis, we will narrow our investigations to a specific subclass of Albert's …