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Anyone able to help me with a very simple abstract algebra question?
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I just want to clarify something...I'm looking for the order of 2 in Z5.
since Z5 is a subgroup generated by some element a (which I do not remember cos my last abstract algebra class was 8 years ago), then I might check if Z5 is generated by 2! Since I know that the order of an element is equal to the order of the subgroup which it generates, right? Please correct me if I am wrong...
I know that Z5 is a subroup generated by some element in the set of Z!
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