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    The upper triangular algebra loop of degree 4

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    Upper triangular.pdf (135.9Kb)
    Date
    2014
    Author
    K.W. Johnson
    Munywoki, Michael, M.
    Smith, Jonathan D.H
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    Abstract
    A natural loop structure is defined on the set U4 of unimodular uppertriangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class 3. A detailed listing of the loop conjugacy classes is presented. In particular, one of the loop conjugacy classes is shown to be properly contained in a superclass of the corresponding algebra group.
    URI
    https://ir.tum.ac.ke/handle/123456789/17487
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