1) Subgroup of integer
整环子群
2) integral group ring
整群环
1.
Structure of powers of augmentation ideals and their quotient groups for integral group rings of dihedral groups;
二面体群整群环的n次增广理想及其商群结构
2.
Let G be a finite group,ZG its integral group ring and△~n(G)the nth power of the augmentation ideal△(G),denote Q_n(G)=△~n(G)/△~(n+1)(G)the augmentation quotient groups of G.
记ZG为有限群G的整群环,△~n(G)为增广理想△(G)的n次幂,Q_n(G)=△~n(G)/△~(n+1)(G)为G的增广商群。
3.
The maximal Z-order Γ of the integral group ring ZG of the finite cyclic group ordered pr in QG has been discussed and a concrete expression formula of Γ has been produced.
对pr阶循环群讨论了它们的整群环ZG在QG中的极大的Z-序Γ,给出了Γ的具体表达式。
3) cyclic subgroup
循环子群
1.
With respect to conjugacy,the cyclic subgroups of order 6 contained in GL(4,Z) are discussed.
从共轭的角度讨论了GL(4,Z)的 6阶循环子
2.
In this paper,the author describes the results of the number of subgroups in a group of order n,raises the guess that the lower bound of the number of subgroup is T(n),discusses the number of cyclic subgroup and the number of maximal subgroup in a commutative group of order n,studies structure of some groups.
综述了n阶群的子群个数的一些结果,提出子群个数的下界是T(n)的猜想,讨论n阶交换群的循环子群的个数与极大子群的个数,研究了一些群的构造。
3.
We denote by n(G) the number of subgroups of minimum coverings by subgroups of G,and denote by n_c(G) the number of subgroups of minimum coverings by cyclic subgroups of G,and denote by n_a(G) the number of subgroups of minimum coverings by Abelian subgroups of G,then(1)3≤n(G)≤|G|-1,(2)n_c(C_p×…×C_p)m个=pm-1+…+p+1,where m≥2,(3)n_c(C_pr×C_p)=r(p-1)+2,where r≥1,(4)n_a(C_pr×C_ps)=p+1,where r≥s≥1.
设p为素数,G是非循环有限群,群G的最小子群覆盖所包含的子群个数记为n(G),群G的最小循环子群覆盖所包含的子群个数记为nc(G),群G的最小Abel子群覆盖所包含的子群个数记为na(G),则3≤n(G)≤|G|-1,nc(Cp×…×Cp)m个=pm-1+…+p+1(m≥2),nc(Cpr×Cp)=r(p-1)+2(r≥1),na(Cpr×Cps)=p+1(r≥s≥1)。
4) commutator ring
整流子环
5) total sub-semigroup
完整子半群
1.
This paper deals with some properties of total sub-semigroups of Abelian groups.
研究可换群的完整子半群的性质，并进一步讨论其扩张问题，得出若干结论。
补充资料：整群抽样
分子式：
CAS号：
性质：将总体中各单位划分为若干群，从各群中随机抽取整群样品，例如，调查中学生患近视眼的情况，抽某一个班做统计；进行产品检验；每隔8h抽1h生产的全部产品进行检验等。整群抽样的优点是抽样方法简便，缺点是抽取的样本在总体中分布不均匀，代表性差。
CAS号：
性质：将总体中各单位划分为若干群，从各群中随机抽取整群样品，例如，调查中学生患近视眼的情况，抽某一个班做统计；进行产品检验；每隔8h抽1h生产的全部产品进行检验等。整群抽样的优点是抽样方法简便，缺点是抽取的样本在总体中分布不均匀，代表性差。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条