MURAL - Maynooth University Research Archive Library



    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

    [img]
    Preview
    Download (312kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads