1.Let G be an infinite group. If G has a normal elementary abelian subgroup, then G is irrecognizable.

1.设G是无限群,若G规初等交换子群,则G是不可分辨.

2.Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.

2.利用系数矩阵和极大项，证明了代数是半单代数且没有二维交换子代数。