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Ellers, Harald and Murray, John (2004) Block theory, branching rules, and centralizer algebras. Journal of Algebra, 276 (1). pp. 236-258. ISSN 0021-8693
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Abstract
This paper is one in a series [8–11] exploring the algebra kGH , the centralizer in the
group algebra kG of the subalgebra kH, where k is a field of characteristic not zero,
G is a finite group, and H is a subgroup of G. All these papers search for theorems
similar to Alperin’s weight conjecture [2]. The immediate goal is to find results that relate
information about blocks of kGH or simple modules over kGH to p-local information.
The ultimate goal is to gain insight into Alperin’s conjecture. See the introductions to [10]
and [11] for a detailed description of the program.
| Item Type: | Article |
|---|---|
| Keywords: | Block theory; branching rules; centralizer algebras; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10109 |
| Identification Number: | 10.1016/j.jalgebra.2003.12.029 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 16 Oct 2018 16:09 |
| Journal or Publication Title: | Journal of Algebra |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10109 |
| 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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