Solving the Class Equation x<sup>d</sup>= β in an Alternating Group for

• 作 者: Shuker Mahmood Andrew Rajah
• 机 构: DepartmentofMathematics,SchoolofMathematicalSciences
• 出 处: 线性代数与矩阵理论研究进展(英文)
• 发表日期: 2012年2期
• 关键词: Alternating Groups PERMUTATIONS Conjugate Classes Cycle Type FROBENIUS Equation

The main purpose of this paper is to solve the class equation in an alternating group, (i.e. find the solutions set ) and find the number of these solutions where ranges over the conjugacy class in and d is a positive integer. In this paper we solve the c