Let f(g) be a function of the elements in a finite group G, and consider the sum ∑g^6 G f(g). Prove the identity ∑g^* G f(g)=∑g ϵG f(g g^')=∑g ∈G f(g^' g) for g^' an arbitrary element of G. We will need this identity again and again in chapters II.1 and II.2. | Numerade
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