Ellers, Harald and Murray, John
(2004)
Block theory, branching rules, and centralizer algebras.
Journal of Algebra, 276 (1).
pp. 236-258.
ISSN 0021-8693
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: |
https://doi.org/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 |
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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