Upgrade to access all content for this subject
Let $G$ be a finite group and $H$ be a subset of $G$. Identify which of the following statements are true.
The set of right cosets of $H$ forms a partition of $G$.
$|aH|=|bH|$ for $a,b \in G$.
$|H|$ divides $|G|$.
The set of left cosets and right cosets of $H$ in $G$ are equal.