Question: please proof it! 5. Let G be a finite group. A representation p: G + GL(V) is irreducible if the only subrepresentations of p are

 please proof it! 5. Let G be a finite group. A

please proof it!

5. Let G be a finite group. A representation p: G + GL(V) is irreducible if the only subrepresentations of p are V and {0}. (a) T/F: Let G = Sn, n > 2, and let p: G+ GL(V) be the permutation representa- tion associated to a basis B of V. Then p is not irreducible. (b) T/F Let G be a finite group with 2 or more elements and let p: G GL(V) be the regular representation of G. Then p is not irreducible. 5. Let G be a finite group. A representation p: G + GL(V) is irreducible if the only subrepresentations of p are V and {0}. (a) T/F: Let G = Sn, n > 2, and let p: G+ GL(V) be the permutation representa- tion associated to a basis B of V. Then p is not irreducible. (b) T/F Let G be a finite group with 2 or more elements and let p: G GL(V) be the regular representation of G. Then p is not irreducible

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