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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| Format: | Article |
| Language: | English |
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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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| author | M. E. Charkani S. Bouhamidi |
| author_facet | M. E. Charkani S. Bouhamidi |
| author_sort | M. E. Charkani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dad62696016742a589114e45a0dee5ad |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dad62696016742a589114e45a0dee5ad2025-02-03T05:53:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003704399440810.1155/S0161171203210681Modular representations of Loewy length twoM. E. Charkani0S. Bouhamidi1Department of Mathematics, Faculty of Sciences Dhar-Mahraz, University of Sidi Mohammed Ben Abdellah, Fes BP 1796, MoroccoDepartment of Mathematics, Faculty of Sciences Dhar-Mahraz, University of Sidi Mohammed Ben Abdellah, Fes BP 1796, MoroccoLet 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.http://dx.doi.org/10.1155/S0161171203210681 |
| spellingShingle | M. E. Charkani S. Bouhamidi Modular representations of Loewy length two International Journal of Mathematics and Mathematical Sciences |
| title | Modular representations of Loewy length two |
| title_full | Modular representations of Loewy length two |
| title_fullStr | Modular representations of Loewy length two |
| title_full_unstemmed | Modular representations of Loewy length two |
| title_short | Modular representations of Loewy length two |
| title_sort | modular representations of loewy length two |
| url | http://dx.doi.org/10.1155/S0161171203210681 |
| work_keys_str_mv | AT mecharkani modularrepresentationsofloewylengthtwo AT sbouhamidi modularrepresentationsofloewylengthtwo |