SCHUR RING AND QUASI-SIMPLE MODULES
Let R be a ring of algebraic integers of an algebraic number field F and let G ≤ GLn(R) be a finite group. In this paper we show that the R-span of G is just the matrix ring Mn(R) of the n X n-matrices over R if and only if G/Opi(G) is absolutely simple for all p i ∈ π,...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2009
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200003 |
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oai:scielo:S0716-091720090002000032014-08-12SCHUR RING AND QUASI-SIMPLE MODULESDomínguez-Wade,Pedro Schur ring π-globally simple Let R be a ring of algebraic integers of an algebraic number field F and let G ≤ GLn(R) be a finite group. In this paper we show that the R-span of G is just the matrix ring Mn(R) of the n X n-matrices over R if and only if G/Opi(G) is absolutely simple for all p i ∈ π, where π is the set of the positive prime divisors of |G| and Opi(G) is the largest normal pi-subgroup.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.2 20092009-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200003en10.4067/S0716-09172009000200003 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Schur ring π-globally simple |
| spellingShingle |
Schur ring π-globally simple Domínguez-Wade,Pedro SCHUR RING AND QUASI-SIMPLE MODULES |
| description |
Let R be a ring of algebraic integers of an algebraic number field F and let G ≤ GLn(R) be a finite group. In this paper we show that the R-span of G is just the matrix ring Mn(R) of the n X n-matrices over R if and only if G/Opi(G) is absolutely simple for all p i ∈ π, where π is the set of the positive prime divisors of |G| and Opi(G) is the largest normal pi-subgroup. |
| author |
Domínguez-Wade,Pedro |
| author_facet |
Domínguez-Wade,Pedro |
| author_sort |
Domínguez-Wade,Pedro |
| title |
SCHUR RING AND QUASI-SIMPLE MODULES |
| title_short |
SCHUR RING AND QUASI-SIMPLE MODULES |
| title_full |
SCHUR RING AND QUASI-SIMPLE MODULES |
| title_fullStr |
SCHUR RING AND QUASI-SIMPLE MODULES |
| title_full_unstemmed |
SCHUR RING AND QUASI-SIMPLE MODULES |
| title_sort |
schur ring and quasi-simple modules |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2009 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200003 |
| work_keys_str_mv |
AT dominguezwadepedro schurringandquasisimplemodules |
| _version_ |
1718439763336232960 |