On Automorphisms of Order Three of Division Algebras*

نویسندگان

  • L. G. Sweet
  • J. A. MacDougall
  • Richard A. Brualdi
  • J. A. MAcDOUGALL
چکیده

Let A be a finite dimensional division algebra (not necessarily associative) over a field. The automorphisms of A having order three are characterized by giving a canonical matrix representation for each of the possible types (there are three). Examples are given to show that each type does exist. Some general results concerning automorphisms of prime power order are included.

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تاریخ انتشار 2001