在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。

In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .

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本文第四部分3.4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。

In the last section, namely 3.4, we mainly discuss how Abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups.

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本文第四部分3.4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。

In the last section, namely 3.4, we mainly discuss how Abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups.

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