Modular Representations of Loewy Length Two
نویسنده
چکیده
LetG 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 J2M = 0 and give some properties and isomorphism invariants which allow us to compute the number of isomorphism classes of K[G]-modulesM such that dimK(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 dimK(Rad(M))= 1.
منابع مشابه
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