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ALGEBRAS WITH TRANSITIVE AUTOMORPHISM GROUPS

MacDougall, James A. and Sweet, L. G. (1986) ALGEBRAS WITH TRANSITIVE AUTOMORPHISM GROUPS. Canadian Mathematical Bulletin, 29 . pp. 224-226.

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    Abstract

    Let $A$ be a finite dimensional algebra (not necessarily associative) over a field, whose automorphism group acts transitively. It is shown that $K = GF(2)$ and $A$ is a Kostrikin algebra. The automorphism group is determined to be a semi-direct product of two cyclic groups. The number of such algebras is also calculated.

    Item Type: Article
    Subjects: 00-xx General
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 18 Nov 2010 12:06
    Last Modified: 18 Nov 2010 12:06
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/843

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