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|Title:||[3:2]-pairs of symmetric group algebras and their intermediate defect 4 blocks||Authors:||Martin, S.
|Issue Date:||15-Jun-2005||Citation:||Martin, S., Tan, K.M. (2005-06-15). [3:2]-pairs of symmetric group algebras and their intermediate defect 4 blocks. Journal of Algebra 288 (2) : 505-526. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jalgebra.2005.01.036||Abstract:||In this paper we study [3 -pairs of symmetric group algebras and their 'intermediate' block in detail. The aim is to understand how one block of a [3 : 2]-pair can inherit two properties - the Ext-quiver being bipartite and the principal indecomposable modules having a common Loewy length 7 - From the other. We establish some sufficient conditions for this inheritance, and verify these conditions for some special blocks. © 2005 Elsevier Inc. All rights reserved.||Source Title:||Journal of Algebra||URI:||http://scholarbank.nus.edu.sg/handle/10635/102600||ISSN:||00218693||DOI:||10.1016/j.jalgebra.2005.01.036|
|Appears in Collections:||Staff Publications|
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