## A lower bound for the number of conjugacy classes of finite groups

##### Authors
Keller, Thomas Michael
##### Description
In 2000, L. H\'{e}thelyi and B. K\"{u}lshammer proved that if $p$ is a prime number dividing the order of a finite solvable group $G$, then $G$ has at least $2\sqrt{p-1}$ conjugacy classes. In this paper we show that if $p$ is large, the result remains true for arbitrary finite groups.
##### Keywords
Mathematics - Group Theory, 20E45