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    The indecomposable symplectic and quadratic modules of the Klein-four group


    Pforte, Lars and Murray, John (2018) The indecomposable symplectic and quadratic modules of the Klein-four group. Journal of Algebra, 505. pp. 92-124. ISSN 0021-8693

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    Abstract

    We determine all indecomposable symplectic modules for the Klein-four group K4 over a perfect field of characteristic 2 and classify the symplectic forms up to isometry. We also determine all K4-invariant quadratic forms which polarize to a given symplectic form and classify such quadratic forms up to isometry

    Item Type: Article
    Keywords: Symplectic; quadratic forms; Indecomposable symplectic; quadratic modules; Klein-four group;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 13088
    Identification Number: https://doi.org/10.1016/j.jalgebra.2018.02.032
    Depositing User: Dr. John Murray
    Date Deposited: 23 Jun 2020 14:35
    Journal or Publication Title: Journal of Algebra
    Publisher: Elsevier
    Refereed: Yes
    URI:

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