Schur ring and quasi-simple modules

• Domínguez Wade, Pedro ^[1]
  1. [1] Universidad de Matanzas

     Universidad de Matanzas

     Cuba

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 2, 2009, págs. 133-139
• Idioma: inglés
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• Resumen

  • 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 pi ∈ π, where π is the set of the positive prime divisors of |G| and Opi(G) is the largest normal pi-subgroup.