T. Keller

activity

20232026

most citedPrime divisors and the number of conjugacy classes of finite groups

5 citations · 5 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.GR2023

Bounding the number of p'-degrees from below

Thomas Keller, Yong Yang

Let $G$ be a finite group of order divisible by a prime $p$ and let $P\in\Syl_p(G)$. We prove a recent conjecture by Hung stating that $|\Irr_{p'}(G)|\geq \frac{\exp(P/P')-1}{p-1}+…

math.GR2023

A new lower bound for the number of conjugacy classes

Burcu Çınarcı, Thomas Michael Keller

In 2003, Héthelyi and Külshammer proposed that if $G$ is a finite group and $p$ is a prime dividing the group order, then $k (G) \geq 2 p - 1$ , and they proved this conjecture fo…

math.GR2023★ 5 cited

Prime divisors and the number of conjugacy classes of finite groups

Thomas Michael Keller, Alexander Moretó

We prove that there exists a universal constant $D$ such that if $p$ is a prime divisor of the index of the Fitting subgroup of a finite group $G$ , then the number of conjugacy cla…