A decomposition theorem for G-groups |
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Authors: | I Lizasoain |
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Institution: | 1. Departamento de Matemticas, Universidad Pública de Navarra Campus de Arrosada, 31006, Pamplona, Spain
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Abstract: | Some classical results about linear representations of a finite group G have been also proved for representations of G on non-abelian groups (G-groups). In this paper we establish a decomposition theorem for irreducible G-groups which expresses a suitable irreducible G-group as a tensor product of two projective G-groups in a similar way to the celebrated theorem of Clifford for linear representations. Moreover, we study the non-abelian minimal
normal subgroups of G in which this decomposition is possible. |
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Keywords: | representations of groups permutation groups semisimple groups primitive groups |
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