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]

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。

For a Hall π-subgroup in π-separable group and a given π-Fong character, we show that there always exists a normal subgroup, such that some irreducible constituent of this π-Fong character which restricts on the join of these two subgroups is a π-Fong character associated to this normal subgroup.

对于π-可分群的一个Hall π-子群和一个给定的π-Fong特征标，我们证明了总存在一个正规子群使得这个π-Fong特征标在这两个子群的交上的限制的某个不可约成分是联系这个正规子群的一个π-Fong特征标。

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。

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

weakly normal subgroup：弱正规子群

weakly mixing 弱混合的 | weakly normal subgroup 弱正规子群 | weakly ordered field 弱有序域