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    Groups of singular alternating sign matrices

    Citation

    O'Brien, C. and Quinlan, R. (2025) 'Groups of singular alternating sign matrices', Electronic Journal of Linear Algebra, 41, 288-303, available: https://doi.org/10.13001/ela.2025.8715.
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    O'Brien, C. and Quinlan, R. (2025) Groups of singular alternating sign matrices.pdf (364.2Kb)
    Date
    2025-05-20
    Author
    O'Brien, Cian
    Quinlan, Rachel
    Peer Reviewed
    Yes
    Metadata
    Show full item record
    O'Brien, C. and Quinlan, R. (2025) 'Groups of singular alternating sign matrices', Electronic Journal of Linear Algebra, 41, 288-303, available: https://doi.org/10.13001/ela.2025.8715.
    Abstract
    We investigate multiplicative groups consisting entirely of singular alternating sign matrices (ASMs) and present several constructions of such groups. It is shown that every finite group is isomorphic to a group of singular ASMs, with a singular idempotent ASM as its identity element. The relationship between the size, the rank, and the possible multiplicative orders of singular ASMs is explored.
    Keywords
    Alternating sign matrix
    ASM
    Matrix group
    Language (ISO 639-3)
    eng
    Publisher
    International Linear Algebra Society
    Rights
    Open Access CC BY-NC-SA 4.0
    License URI
    https://journals.uwyo.edu/index.php/ela/article/view/8715
    DOI
    10.13001/ela.2025.8715
    URI
    https://dspace.mic.ul.ie/handle/10395/3471
    ISSN
    1081-3810
    Collections
    • Mathematics and Computer Studies (Peer-reviewed publications)

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