Modular representations of Loewy length two
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 J2M=0 and give some properties and isomorphi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203210681 |
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| Summary: | 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 J2M=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 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. |
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| ISSN: | 0161-1712 1687-0425 |