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find all generators of Z. let "a" be a group element that has infinite order. Find...

find all generators of Z. let "a" be a group element that has infinite order. Find all the generators of . Please prove and explain in detail please use definions and theorems. please i reallly want to understand this.

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Answer #1

Please find the attached files for the solution. I will prove that '1' & '-1' are only two generators of Z. The strategy is to check that every element of Z is a generator or not.

If you still have some doubts about this solution, Feel free to comment below. Please rate the solution. Thanking you.

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