how many generators of an infinite cyclic group has

Question : How many generators of an infinite cyclic group hasSolution :Let G be an infinite cyclic group such that \[G= \left\langle a\right\rangle \]then \[G\ = \left\langle a^{-1}\right\rangle \] That is there are exactly two generators of an infinite cyclic…

This Question has been answered. 

Please Login or Register to See The Answer