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
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 |
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