,The Largest Lengths of Conjugacy Classes of Finite Groups

• 作 者: Liguo He Guohua Qian
• 机 构: Department of Mathematics, Harbin Institute of Technology Harbin 150001, China“,”Department of Mathe
• 出 处: 代数集刊(英文版)
• 发表日期: 2005年3期
• 关键词: finite group conjugacy class Sylow subgroup

Let bcl(G) denote the largest conjugacy class length of a finite group G. In this note, we prove that if bcl(G) ＜ p2 for a prime p, then |G: Op(G)|p ≤ p.