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|Title:||Defect 3 blocks of symmetric group algebras, I|
|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|
|Appears in Collections:||Staff Publications|
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