# Calculations with Isomorphic Groups

Complete 3-18 and 3-19.

Exercise 3-18. Prove that if two groups are isomorphic and if an element of g of one corresponds to the element h of the other under the isomorphism, then g^-1 corresponds to h^-1.

Exercise 3-19. Write the four-group as permutation group. Write the octic group as a group of permutation expressed as cycle.

(see attached file for chart)

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#### Solution Summary

This solution answers questions regarding isomorphic groups.

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