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Proving the Existence of Subgroups in Cyclic Groups
Homework Statement Let G be a finite cyclic group of order n. If d is a positive divisor of n, prove that the equation x^d=e has d distinct solutions Homework Equations n=dk for some k order(G)=nThe Attempt at a Solution solved it: <g^k>={g^k, g^2k,...,g^dk=e} and for all x in <g^k> x^d=e...- screenname123
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- Cyclic Groups Proof
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- Forum: Calculus and Beyond Homework Help