Modular representations of Loewy length two

M. E. Charkani and S. Bouhamidi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-10

Abstract:

Let G be a finite p -group, K a field of characteristic p , and J the radical of the group algebra K [ G ] . We study modular representations using some new results of the theory of extensions of modules. More precisely, we describe the K [ G ] -modules M such that J 2 M = 0 and give some properties and isomorphism invariants which allow us to compute the number of isomorphism classes of K [ G ] -modules M such that dim K ( M ) = μ ( M ) + 1 , where μ ( M ) is the minimum number of generators of the K [ G ] -module M . We also compute the number of isomorphism classes of indecomposable K [ G ] -modules M such that dim K ( Rad ( M ) ) = 1 .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:416397

DOI: 10.1155/S0161171203210681

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