Title of article :
Generators of Nonassociative Simple Moufang Loops over Finite Prime Fields
Author/Authors :
Petr Vojt chovsk?، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Abstract :
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.
Keywords :
simple Moufang loops , economical generators , integral Cayley numbers , octonions
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra
