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Question #18573

For any finite group G and any field k, is it true that any irreducible representation of G over k is afforded by a minimal left ideal of kG?

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**1.**Show that, over Q, G = A5 has four irreducible representations, of dimensions 1, 4, 5, …**2.**Verify that the two nonabelian groups of order 8 (the dihedral group and the quaternion…**3.**Let G be the dihedral group of order 2n generated by two elements r, s with relations r…**4.**Let G be the dihedral group of order 2n generated by two elements r, s with relations r…**5.**Let G be the dihedral group of order 2n generated by two elements r, s with relations r…**6.**Let G be the dihedral group of order 2n generated by two elements r, s with relations r…**7.**Let G be the dihedral group of order 2n generated by two elements r, s with relations r…

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