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When G is a finite abelian group, the abelian group K_1, iscalculated completely mainly using the Bass-Milnor-Serre theorem, then the structure of K_1{ZG,|G|г is clear.

K_1。 3。利用Bass-Milnor-Serre定理,我们首先计算出了G是一个有限交换群时的K_1,也就计算出了(来源:e2ABC论文网www.abclunwen.com)K_1;当G是2阶和3阶循环群时,我们计算出了K_2=1,这个结果有待于继续推广,对于计算一些环的K_2群会有所帮助。

It is prove that groups of order p2 can be divided into two kinds in the isomorphism sense:(1) cycle group ;(2)commutative group which can be written as a product of two cycle proper-subgroup of order p.

证明了在同构意义下p2阶群共有两类:一类是循环群,一类是可分解为两个p阶真循环子群乘积的可换群。

Group, Subgoup, Permutation Group, Cyclic Group, Commutative Group, Normal Subgroup, Factor Group, Isomorphism, Ring, Ideal, Field, Polynomial Ring, Factor Ring.

课程内容:群,子群,置换群,循环群,交换群,正规子群,商群,群之同构,环,理想,体,多项式环,商环等。

This article proves that a finite cyclic group can be isomorphically represented by direct product of some cyclic groups.

摘要本文运用基础代数中有关循环群、直积、同构等理论,证明了一个循环群可以用另一组循环群的直积形式来同构表示。

Metacyclic group, which is the expansion of a cyclic group by a cyclic group, is a special group generated by two elements.

循环群,即循环群循环群的扩张,是特殊的二元生成群,Otto Hlder曾研究并给出了有限亚循环群的构造;G。

The cyclic group of order 3, above, and {1,-1} under ordinary multiplication, also above, are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this.

上述的 3 阶的循环群和{1,-1}在普通乘法下的群都是阿贝尔群,可以通过检查其凯莱表的对称性来验证。

In Chapter 3, by using the technique of finite dimensional approximation of Seiberg-Wittentheory, the equivariant K-theory and some other methods, we study the problem of topologicalrestriction when there are smooth groups acting on Spin 4-manifolds such as the alternatinggroup A_5, cyclic group Z_6 and symmetric group S_3 with actions of odd type, consequently weimprove Furutas 10/8 theorem under the condition of group actions.

第三章运用Seiberg-Witten理论的有限维逼近技巧和等变K-理论等工具,研究了Spin 4-流形X上分别存在光滑交错群A_5、循环群Z_6和奇型三阶对称群S_3作用时,X的拓扑限制问题,在群作用下改进了Furuta的10/8定理。

Subgroup, Factor Group, Isomorphism, Ring, Ideal, Field, Polynomial Ring, Factor

课程内容:群,子群,置换群,循环群,交换群,正规子群,商群,群之同构,环,理想,体,多项式环,商环等。

Metacyclic group, which is the expansion of a cyclic group by a cyclic group, is a special group generated by two elements.

循环群,即循环群循环群的扩张,是特殊的二元生成群,Otto H?

Pazderski once proved the conditions which the order of metacyclic group have; And many domestic group-researchers such as, Xu Minyao , Fan Yun , Huang Ping-an Chen Guiyun ,etc, all of them had done much useful researc...

Pazderski曾证明了有限群G恒为亚循环群时G之阶|G|所具备的条件;徐明曜、樊恽、黄平安、陈贵云等国内群论学者,也都先后对亚循环群的各类性质做过研究,得到了许多具有重要价值的结论。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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