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Does every normal subgroups subgroup appear as a kernel of an irreducible representation? |
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Given a finite group and a normal subgroup, does there always exist an irreducible complex representation, whose kernel is this normal subgroup? Sorry, just it was just mentioned that this is a duplicate. See http://mathoverflow.net/questions/57129/which-finite-groups-have-faithful-complex-irreducible-representations. |
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Does every normal subgroups appear as a kernel of a an irreducible representation?Given a finite group and a normal subgroup, does there always exist a an irreducible complex representation, whose kernel is this normal subgroup? |
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