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Asked Sep 28, 2019
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9*. Use Lagrange's theorem to prove: If g E G, G a finite group, then gG| = 1.
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9*. Use Lagrange's theorem to prove: If g E G, G a finite group, then gG| = 1.

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Step 1

To prove the given statement,...

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identity element and d s G Let O(g) d. Thus g2 1 Let H be the cyclic subgroup generated by g, then O(H)=d = O(g)

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