Show that R is NOT isomorphic to R*. (R is real numbers and R* is the group of nonzero reals under multiplication) Can someone show this. I can't even get started... Thanks.
Follow Math Help Forum on Facebook and Google+
Originally Posted by jzellt Show that R is NOT isomorphic to R*. (R is real numbers and R* is the group of nonzero reals under multiplication) Suppose that is an isomorphism. Then, and for some so that . Since is injective, . Thus, and as a consequence (contradiction).
View Tag Cloud