Question 47
Let $G$ be a group in which $a^2b = ba^2$ implies $ab = ba$.
a) Show that if $G$ has $2^n$ elements, then $G$ is an abelian group.
b) Exhibit an example of a nonabelian group with the given property.
a) Show that if $G$ has $2^n$ elements, then $G$ is an abelian group.
b) Exhibit an example of a nonabelian group with the given property.