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    The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups


    Murray, John (2018) The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups. Journal of Algebra, 512. pp. 81-91. ISSN 0021-8693

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    Abstract

    The principal indecomposable modules of the double cover 2.An of the alternating group over a field of characteristic 2 are enumerated using the partitions of n into distinct parts. We determine which of these modules afford a non-degenerate 2.An-invariant quadratic form. Our criterion depends on the alternating sum and the number of odd parts of the corresponding partition.

    Item Type: Article
    Keywords: Alternating group; Principal indecomposable module; Dual module; Quadratic form; Characteristic 2; Involution;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 13087
    Identification Number: https://doi.org/10.1016/j.jalgebra.2018.06.034
    Depositing User: Dr. John Murray
    Date Deposited: 23 Jun 2020 14:33
    Journal or Publication Title: Journal of Algebra
    Publisher: Elsevier
    Refereed: Yes
    URI:

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