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 |
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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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