Guohua Qian

activity

20052021

most citedA new graph related to conjugacy classes of finite groups

6 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

math.GR2021★ 1 cited

On p-parts of character degrees

Guohua Qian, Yong Yang

In this paper, we get the sharp bound for $∣ G / O_{p} (G) ∣_{p}$ under the assumption that either $p^{2} ∤ χ (1)$ for all $χ \in Irr (G)$ or $p^{2} ∤ ϕ (1)$ for all $ϕ\in {\rm IBr}_p…

math.GR2017

The largest size of conjugacy class and the $p$ -parts of finite groups

Guohua Qian, Yong Yang

Let $p$ be a prime and let $P$ be a Sylow $p$ -subgroup of a finite nonabelian group $G$ . Let $b c l (G)$ be the size of the largest conjugacy class of the group $G$ . We show that $|P/…

math.GR2015

On p-parts of character degrees and conjugacy class sizes of finite groups

Yong Yang, Guohua Qian

Let $G$ be a finite group and $I r r (G)$ the set of irreducible complex characters of $G$ . Let $e_{p} (G)$ be the largest integer such that $p^{e_{p} (G)}$ divides $χ (1)$ for some $χ\in Ir…

math.GR2005★ 6 cited

A new graph related to conjugacy classes of finite groups

Xingzhong You, Guohua Qian, Wujie Shi

In this paper we classify the finite groups satisfying the following property $P_{4}$ : their orders of representatives are set-wise relatively prime for any 4 distinct non-central co…

math.GR2005

A Characterization of $L_{2} (2^{f})$ in Terms of Character Zeros

Guohua Qian, Wujie Shi

The aim of this paper is to classify the finite nonsolvable groups in which every irreducible character of even degree vanishes on at most two conjugacy classes. As a corollary, it…

math.GR2005

Finite groups in which elements of the same order outside the center are conjugate

Guohua Qian, Wujie Shi, Xingzhong You

In this paper, we prove that if $G$ is a finite group in which elements of the same order outside the center are conjugate, then $G$ is abelian or is isomorphic to $S_{3}$ , the symme…