Is this true?
If $G$ is a group of size $n$, and $X$ is a non-empty subset of $G$ then $X^n$ is a subgroup of $G$?
By $X^n$ I mean the set of all products of length $n$ from $X$.
Is this true?
If $G$ is a group of size $n$, and $X$ is a non-empty subset of $G$ then $X^n$ is a subgroup of $G$?
By $X^n$ I mean the set of all products of length $n$ from $X$.