normal subgroup

normal subgroup的基本解释

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不变子群, 正规子群

与normal subgroup相关的网络例句 [注：此内容来源于网络，仅供参考]

For a finite group G, a subgroup H is called c-normal in G if there is a normal subgroup K such that G=HK and H∩K≤H, the largest normal subgroup of G contained in H. c-normality was replaced by c-π-quasinormality or c-sub-normality. The following were showed equivalent. First, there is a solvable maximal subgroup M such that M is c-π-quasi-normal in G.

推广了有限群中的c-正规性概念，引入了c-次正规性和c-π-拟正规性概念，并利用新概念给出了有限群可解的几个条件，证明了：设G是有限群，那么，下述条件是等价的：G有一个极大子群M在G中是c-π-拟正规的而且是可解的。

Let F=LF be a s-closed local formation such that every minimal non-F-groups is solvable. It is proved that 1 If every cyclic subgroup of of order 4 and every minimal subgroup of G are contained in, then G is a F-group. 2 If there exists a normal subgroup N of G such that G/N∈F and every cyclic subgroup of N of order 4 is weakly c-normal in G and every element of N of prime order is contained in Z(superscript f subscript ∞), then G is a F-group.

设F=LF是一个子群闭的局部群系，满足每个极小非F-群是可解群，证明了：1如果G的任意极小子群和任意4阶循环子群都含于Z中，那么G是F-群；2如果存在G的正规子群，使得G/N∈F，且N的任一4阶循环子群在G中弱c-正规，N的任一素数阶元含于Z中，那么G是F-群。

Not every subgroup of a D-group is also a D-group. If a subgroup is a D-group we call the subgroup "sub- D -group." The "commutator ideal" of G is the smallest sub-D-group containing its commutator subgroup. We found that the commutator ideal can be viewed as a finitely generated module over a ring when G is a finitely generated metabelian D-group.

并非每个子群都是一个可除群，若一个子群是可除群，我们称之为子可除群(sub-D-group)，而G 的交换子理想则是在G中包含其导出群的最小子可除群，我们发现当G是一个有限生成亚交换可除群时，其交换子理想是一个有限生成模。

与normal subgroup相关的网络解释 [注：此内容来源于网络，仅供参考]

normal subgroup, invariant subgroup：正规子群

正规锥|normal cone | 正规子群|normal subgroup, invariant subgroup | 正规族|normal family

normal cone：正规锥

正规性准则|criterion of normality | 正规锥|normal cone | 正规子群|normal subgroup, invariant subgroup

one parameter subgroup：迷向子群

交换子群:Abelian subgroup | 极大子群:maximal subgroup | 迷向子群:one parameter subgroup