Let G=Sym(n). Suppose that , where C is a cyclic group. Then how to show that for
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Originally Posted by dimuk Let G=Sym(n). Suppose that , where C is a cyclic group. Then how to show that for the claim is true for any group G. let and let and then for any integer :
Thanks. But I can't understand what you mean.
Originally Posted by dimuk Thanks. But I can't understand what you mean. forget about that proof! it can be done much easier and in general case: let be any subgroup of and let then thus replacing with gives us thus
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