Please use this identifier to cite or link to this item: https://doi.org/10.1006/jabr.2000.8564
Title: Defect 3 blocks of symmetric group algebras, I
Authors: Martin, S.
Tan, K.M. 
Issue Date: 1-Mar-2001
Citation: Martin, S., Tan, K.M. (2001-03-01). Defect 3 blocks of symmetric group algebras, I. Journal of Algebra 237 (1) : 95-120. ScholarBank@NUS Repository. https://doi.org/10.1006/jabr.2000.8564
Abstract: In this paper, we study if the following properties are present in defect 3 blocks of symmetric group algebras kGn, where k has characteristic p (≥5): the Ext-quiver is bipartite; the p.i.m.'s have a common Loewy length 7.We obtain a criteria for a defect 3 block B of kGn to inherit these properties from a defect 3 block B̃ of kGn-1, with which it forms a [3:1]-pair. We also verify that the principal blocks of kGn (3p≤n≤4p-1) have these properties. © 2001 Academic Press.
Source Title: Journal of Algebra
URI: http://scholarbank.nus.edu.sg/handle/10635/103109
ISSN: 00218693
DOI: 10.1006/jabr.2000.8564
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