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.
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