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

Preview

Download (325kB) | Preview

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:	https://www.sciencedirect.com

Repository Staff Only(login required)

Item control page

Downloads