• 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
  • Pages
    7
  • From page
    186
  • To page
    192
  • 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
  • Serial Year
    2001
  • Journal title
    Journal of Algebra
  • Record number

    695499