Irreducible Modular Characters and p-Regular Conjugacy Classes

• 来源期刊: 代数集刊（英文版）
• 学科: 数学
• 关键词: p-Brauer character p-regular conjugacy class p-modular character degree graph p-regular conjugacy class graph
• 年，卷（期）: 2001,（1）
• 页码范围: 55-62
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

Let G be a solvable group. In this paper, we prove that the set of vertices of the p-modular character degree graph of G is contained in the set of vertices of the p-regular conjugacy class graph of G. Under some condition, an edge of the p-modular character degree graph of G is also an edge of the p-regular conjugacy class graph of G.