英语翻译高手进

Question

我十万火急学要人工翻译一段：希望高手帮个忙！一定要人工翻译---很着急！谢谢了：
从本文的题目就可以知道，本文的主要研究内容有两大方面：低阶对称群的子群和低阶对称群的不变子群..在研究低阶对称群的子群的问题时,主要研究了 的子群的个数,以及子群构造问题,和 的子群个数以及构造,本文仅使用了有限群的lagrange定理以及 次对称群的一些基本结果证明了4次对称群 存在而且仅存在30个子群,并且按照子群的阶数的秩序全部给出了这些子群,其结构也是十分清楚的,而且使用lagrange定理及 次对称群的结果,构造性地给出了 的一些子群. 不变子群主要是研究了 的单性的证明和换位子群, .在一个群中,两个换位子的乘积不一定是换位子,但是在 次对称群中,它的换位子群的元素都是换位子,即在 次对称群中两个换位子的乘积仍然是一个换位子,关于这一结论,给出了一种理论证明,在此基础上,具体给出了一种将 次对称群中的元素表示成换位子的方法,并利用反例,提出存在这样的群 ,它的换位子群中存在这样的元素,它不能表示成 中任何两个元素的换位子.在给出 的单性的证明时,主要参考历史上的经典证明方法和利用换位子的证明方法,这样对 的研究更深一步.

关键词：子群的个数； 子群的构造； 换位子群； 不变子群； 的单性

Answer 1

从本文的题目就可以知道，本文的主要研究内容有两大方面：低阶对称群的子群和低阶对称群的不变子群..在研究低阶对称群的子群的问题时,主要研究了 的子群的个数,以及子群构造问题,和 的子群个数以及构造,本文仅使用了有限群的lagrange定理以及 次对称群的一些基本结果证明了4次对称群 存在而且仅存在30个子群,并且按照子群的阶数的秩序全部给出了这些子群,其结构也是十分清楚的,而且使用lagrange定理及 次对称群的结果,构造性地给出了 的一些子群. 不变子群主要是研究了 的单性的证明和换位子群, .在一个群中,两个换位子的乘积不一定是换位子,但是在 次对称群中,它的换位子群的元素都是换位子,即在 次对称群中两个换位子的乘积仍然是一个换位子,关于这一结论,给出了一种理论证明,在此基础上,具体给出了一种将 次对称群中的元素表示成换位子的方法,并利用反例,提出存在这样的群 ,它的换位子群中存在这样的元素,它不能表示成 中任何两个元素的换位子.在给出 的单性的证明时,主要参考历史上的经典证明方法和利用换位子的证明方法,这样对 的研究更深一步.
From the title of this article can be aware that the main contents of this article has two main aspects: low-symmetry group and the subgroup of low-symmetry group of the same subgroup in the study .. group of low-symmetry subgroup of the question, The main study of the number of subgroups, as well as the issue of subgroup structure and the number of sub-groups as well as the structure, this article uses only a limited group of lagrange Theorem, as well as meeting some of the basic symmetry group results prove the existence of symmetry groups 4 and only 30 sub-groups exist, and in accordance with the order of subgroups of the order is given all these sub-groups, its structure is very clear, and the use of lagrange Theorem and the results of sub-symmetry group, given the structure of some sub - group. the same subgroup is to study the evidence of single-sex and commutator group. in a group, the two-for-position for the product is not necessarily the position, but in the sub-symmetry group, its commutator group commutator of the elements, that is, in the sub-symmetry group of two-for-seat-for-product is still a seat on the conclusions of this paper, a theory to prove, on this basis, the specific will be given a time symmetry group of elements that change position as the methods and the use of counter-examples, the existence of such a group, its commutator group of the existence of such elements, it does not mean that any two elements into the commutator. in the given proof of single-sex, the main reference in the history of the classical proof methods and the use of proven methods for the seat, so that a deeper study of the step.顺便说一句 这种翻译google上面就有 免费 呵呵

Answer 2

只有奋斗不息，才有生存的空间；只有不断追求，提升能力，成功的机会才会纷至沓来。
呵呵！我翻译的不会比这个更好了！

Answer 3

From this topic can know, this is the main research contents of two aspects: low-order symmetric group of low order and the canonical group of symmetry. In the study of low-level symmetry of problems, mainly studies the number of the sons of structural problems, and the number of children, and structures, and this was the only using Lagrange theorem and limited group of some basic symmetry groups times results prove the existence of four symmetrical and only 30 taller, and according to the fruit of the order of the order of these all presented, its structure is very clear, and using Lagrange theorem and The Times of results, structural asymmetry in a given group. XieZi canonical group is mainly studied the proof and the commutator subgroup, in a group, the product of two change seat is not necessarily change seat, but in times of symmetrical, its commutator subgroup elements are in place, namely in times of change seat two asymmetry of product is still a change seat, about this conclusion, this paper presents a theoretical proof, on this basis, specific gives a kind of symmetry groups will times that of change seat into element method, and using the example of group, and its change seat in the group of elements, it cannot be said of the two elements into any change in a given position. The proof of sex, main reference in the history of the classic methods, and using the method of proof switch seat, so the study of one step further.

Answer 4

From this topic can know, this is the main research contents of two aspects: low-order symmetric group of low order and the canonical group of symmetry. In the study of low-level symmetry of problems, mainly studies the number of the sons of structural problems, and the number of children, and structures, and this was the only using Lagrange theorem and limited group of some basic symmetry groups times results prove the existence of four symmetrical and only 30 taller, and according to the fruit of the order of the order of these all presented, its structure is very clear, and using Lagrange theorem and The Times of results, structural asymmetry in a given group. XieZi canonical group is mainly studied the proof and the commutator subgroup, in a group, the product of two change seat is not necessarily change seat, but in times of symmetrical, its commutator subgroup elements are in place, namely in times of change seat two asymmetry of product is still a change seat, about this conclusion, this paper presents a theoretical proof, on this basis, specific gives a kind of symmetry groups will times that of change seat into element method, and using the example of group, and its change seat in the group of elements, it cannot be said of the two elements into any change in a given position. The proof of sex, main reference in the history of the classic methods, and using the method of proof switch seat, so the study of one step further.

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Answer 5

貌似有个别数学符号没发上来，请楼主仔细比对后确认一下