Yong Yang

collaborators

3 papers

math.GR2025

On $p$ -parts of conjugacy class sizes and the index of the $p$ -core

Yu Zeng, Jinbao Li, Yong Yang

For a prime $p$ and an arbitrary finite group $G$ , we show that if $p^{2}$ does not divide the size of each conjugacy class of \emph{ $p$ -regular} element (element of order not divi…

math.GR2025

On groups with square-free gcd of character degree and codegree

Karam Aldahleh, Alan Kappler, Neil Makur +1

Let $G$ be a finite group and $χ$ be an irreducible character of $G$ . The codegree of $χ$ is defined as $χ^{c} (1) = \frac{∣ G : k e r χ ∣}{χ ( 1 )}$ . In a paper by Gao, Wang, and Chen, it was…

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}+…

On p-parts of conjugacy class sizes and the index of the p-core

On groups with square-free gcd of character degree and codegree

Bounding the number of p'-degrees from below

On $p$ -parts of conjugacy class sizes and the index of the $p$ -core