Chongqing University of Arts and Sciences

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20102025

most citedCertain properties of the power graph associated with a finite group

54 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.GR2021★ 15 cited

Finite groups isospectral to simple groups

Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi +2

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectr…

math.GR2018

On p-parts of Brauer character degrees and p-regular conjugacy class sizes

Christine Bessenrodt, Yong Yang

Let $G$ be a finite group, $p$ a prime, and $I B r_{p} (G)$ the set of irreducible $p$ -Brauer characters of $G$ . Let $e ˉ_{p} (G)$ be the largest integer such that $p^{e ˉ_{p} (G)}$ div…

math.GR2017

A sufficient conditon for solvability of finite groups

Wujie Shi

The following theorem is proved: Let $G$ be a finite group and $π_{e} (G)$ be the set of element orders in $G$ . If $π_{e} (G) \cap {2} = \emptyset$ ; or $π_{e} (G) \cap {3, 4} = \emptyset$ ;…

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.GR2013★ 54 cited

Certain properties of the power graph associated with a finite group

A. R. Moghaddamfar, S. Rahbariyan, W. J. Shi

There are a variety of ways to associate directed or undirected graphs to a group. It may be interesting to investigate the relations between the structure of these graphs and char…