模特征标度图(英文)

A Note on the Modular Character Degree Graph

本文假设G为一有限群且G的模特征标度图有两个连通分支.记πi（i=1,2）为其顶点集.文章通过p-长界定了G的πi-长,并证明了G的π1-或π2-长至多为4.

In this paper, we assume G is a finite group and its modular character degree graph has two connected components. Denote by πi (i = 1, 2) its vertices set. We bound πi-length in terms of its p-length. We prove π1 or π2-length of G is at most 4.