,Elements with Square Roots in Finite Groups

• 作 者: M.S. Lucido M.R. Pournaki
• 机 构: Dipartimento di Matematica e Informatica, Università di Udine Via delle Scienze 208, I-33100 Udine,
• 出 处: 代数集刊（英文版）
• 发表日期: 2005年4期
• 关键词: simple group of Lie type of rank 1 sporadic finite simple group symmetric group

In this paper, we study the probability that a randomly chosen element in a finite group has a square root, in particular the simple groups of Lie type of rank 1, the sporadic finite simple groups and the alteating groups.