Question:
Let G be a group and let Z G be its centre Prove that if G Z
Last updated: 8/21/2023
![Let G be a group and let Z G be its centre Prove that if G Z](https://media.kunduz.com/media/sug-question-candidate/20230821060627567072-5837195.jpg?h=512)
Let G be a group and let Z G be its centre Prove that if G Z G is cyclic then G is abelian Hint If G Z G is cyclic prove that a generator gives rise to an element outside Z G which commutes with all elements of G