The class equation is defined on finite group $G$ with $a\in G$, then
$|G|=\sum_{s}|G:C(a)|$ where $s$: sum runs over elements from distinct conjugacy classes. My question what are the applications of this class equation ??
The class equation is defined on finite group $G$ with $a\in G$, then
$|G|=\sum_{s}|G:C(a)|$ where $s$: sum runs over elements from distinct conjugacy classes. My question what are the applications of this class equation ??
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One of the application is to prove the following result: