Martin's conjecture holds for weight 3 blocks of symmetric groups

We prove that Martin's conjecture holds for weight 3 blocks of symmetric group algebras—that if these blocks have Abelian defect group, then their projective (indecomposable) modules have a common radical length 7.

Saved in:
Bibliographic Details
Published in:Journal of algebra 2008-08, Vol.320 (3), p.1115-1132
Main Author: Tan, Kai Meng
Format: Article
Language:English
Subjects:
Representation theory
Symmetric groups
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove that Martin's conjecture holds for weight 3 blocks of symmetric group algebras—that if these blocks have Abelian defect group, then their projective (indecomposable) modules have a common radical length 7.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2008.04.024