Let G be a group. Suppose that the class equation for G is 1 + 4 + 5 + 5 + 5. (a) Does G have a subgroup of order 5? If so, then is it normal in G? Prove your answers. (b) Does G have a subgroup of order 4? If so, then is it normal in G? Prove your answers.
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Home » Mathematics » Let G be a group. Suppose that the class equation for G is 1 + 4 + 5 + 5 + 5. (a) Does G have a subgroup of order 5? If so, then is it normal in G? Prove your answers.