arXiv subjects

Xingzhong You

Publications and source records attributed to Xingzhong You.

2 recordsLinked to original sources

arXiv2005

A new graph related to conjugacy classes of finite groups

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 conjugacy classes.

math.GR↗

arXiv2005

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

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 symmetry group of degree 3.

math.GR↗