On the group of the invertible elements in $\mathbb{Z}_p$, the question asks to show that the group is cyclic. This must have something to do with the representation of $G$ as a product of groups with prime power order, and I think that I should be able to find an element that generates the group, but so far no idea on how to do that.

G is abelian, by the way.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.