T. Keller

On the number of conjugacy classes of finite solvable groups of order divisible by $p^2$

In 2003, H\'ethelyi and K\"ulshammer proved that if $G$ is a finite solvable group and $p$ is a prime such that $p^2$ divides $|G|$, then $k(G)\geq (49p+1)/60$, and they constructed an infinite family of groups for which this bound was claimed to be attained. We point out that the groups in this family are not Frobeniu...