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A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN Some classical results about linear representations of a finite group G have been also proved for representatio
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A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN 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.
A Decomposition Theorem for G-Groups I. LIZASOAIN 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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