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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/13087 |
| 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 |
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