Nanying Yang

collaborators

3 papers

math.GR2024

On groups whose conjugacy class sizes are not divisible by each other

Nanying Yang, Ilya Gorshkov

Let $G$ be a finite group and $N (G)$ be the set of its conjugacy class sizes excluding~ $1$ . Let us define a directed graph $Γ (G)$ , the set of vertices of this graph is $N (G)$ and t…

math.GR2024

On combinatorial properties of Gruenberg--Kegel graphs of finite groups

Mingzhu Chen, Ilya B. Gorshkov, Natalia V. Maslova +1

If $G$ is a finite group, then the spectrum $ω (G)$ is the set of all element orders of $G$ . The prime spectrum $π (G)$ is the set of all primes belonging to $ω (G)$ . A simple graph $…

math.GR2022

On recognition of direct powers of finite simple linear groups by spectrum

N. Yang, I. B. Gorshkov, A. M. Staroletov +1

The spectrum of a finite group is the set of its element orders. We give an affirmative answer to Problem 20.58(a) from the Kourovka Notebook proving that for every positive intege…