2 votes 2 votes Let $G$ be a group whose presentation is $G=\{ x, y \mid x^5 =y^2 =e, \:\:\:\: x^2y=yx\}$, $\mathcal{Z}_n$: Set of integers modulo $n$ Then $G$ is isomorphic to $\mathcal{Z}_5$ $\mathcal{Z}_{10}$ $\mathcal{Z}_2$ $\mathcal{Z}_{30}$ Amit puri asked Aug 27, 2016 edited Sep 20, 2016 by go_editor Amit puri 276 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes @Amit. Zn is isomorphic to G. So, Zn must also be a group, right? Now, I have a query. Can Zn = set of integers modulo n can ever be a group because inverse of 0 never exists. Dont know if my thinking is right. Sushant Gokhale answered Aug 30, 2016 Sushant Gokhale comment Share Follow See 1 comment See all 1 1 comment reply Sushant Gokhale commented Aug 30, 2016 reply Follow Share is (C) the answer? 0 votes 0 votes Please log in or register to add a comment.