I need the following questions in handwritten working out within 5 minutes.    Suppose G and H are groups, and are isomorphic. If G is cyclic, show that H is cyclic

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 12E: For each of the following values of n, find all distinct generators of the group Un described in...
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I need the following questions in handwritten working out within 5 minutes. 

 

Suppose G and H are groups, and are isomorphic. If G is cyclic, show that H is cyclic

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