Generators of nonassociative simple Moufang loops over finite prime fields

Details Generators of nonassociative simple Moufang loops over finite prime fields Generators of nonassociative simple Moufang loops over finite prime fields

2007-01-24

arxiv.org/abs/math/0701692v1

Journal of Algebra 241 (2001), 186-192

Mathematics

Group Theory

7 pages

Scientific paper

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.

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