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Generators of Nonassociative Simple Moufang Loops over Finite Prime Fields

✍ Scribed by Petr Vojtěchovský

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 70 KB
Volume: 241
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8776

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✦ Synopsis

We present an elementary proof that the nonassociative simple Moufang loops over finite prime fields are generated by three elements. In the last section, we conclude that integral Cayley numbers of unit norm are generated multiplicatively by three elements.