在对称群S_m中解方程组

Solve the System of Equations in Symmetric Group S_m

本文对方程组■的解进行了研究,得到了该方程组有可交换解的充分必要条件、解的方法及解的个数。

This paper has studied how to Solve the System of Equationsin Symmetric growps Sm. We have determined a necessary and sufficient condition which guaranter the existence of commutative solutions of the system of equations and the number of commutative solutions of the system of equations.