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On Automorphisms of Order Three of Division Algebras

MacDougall, James A. and Sweet, L. G. (1988) On Automorphisms of Order Three of Division Algebras. Linear Algebra and Applications, 108 . pp. 231-237.

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    Abstract

    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.

    Item Type: Article
    Subjects: 00-xx General
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 13 Dec 2010 11:51
    Last Modified: 13 Dec 2010 11:51
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/839

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