1) c-subnormality
c-次正规性
2) Subnormality
次正规性
1.
Subnormality and Hyponormality of Weighted Shifts Operators;
加权移位算子的次正规性及可亚正规性
2.
Normality、Subnormality and Hyponormality of Toeplitz Operators and Products of Toeplitz Operators;
本文首先对关于Toeplitz算子的正规性、次正规性和亚正规性的研究做了一个总结。
3) c-π-quasinormality
c-π-拟正规性
1.
c-normality was replaced by c-π-quasinormality or c-sub-normality.
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:(ⅰ)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。
4) C-normal
C-正规
1.
The influence of c-normal subgroup on the structure of super solvable group
c-正规子群对超可解群结构的影响
2.
The C-normal subgroup was firstly presented and used to discuss the structure of finite group.
C-正规子群第一次被提出并被用来讨论了有限群的结构,之后得到人们的广泛关注。
3.
In this paper, the starting point is researching the solvability, in the base ofthe conclusions,Combining Sylow-subgroups, Hall-subgroups, conjugate-permutablesubgroups and c-normal groups.
本文的出发点就是在这些结论的基础上结合Sylow子群、Hall子群、共轭置换子群、c-正规子群等对有限群的可解性进行研究，得到以下主要结论： (1)若G的Sylow 2-子群为交换群，且对G的任意Sylow 2-子群Q(Q≠P)，P∩Q在P中极大，则G为可解群。
5) c-normality
c-正规
1.
c-normality and p-nilpotency of Finite Groups;
c-正规与有限群的p-幂零性
2.
In this paper,we research the effect of c-normality on supersolvablity and solvability,and get some good results:if M is a normal subgroup of G and every sylow subgroup of M is c-niomal in G, then G is supersolvable;let M be normal and maximal in G, if every subgroup of prime order is c-normal in G,and every Frattini subgroup of sylow subgroups in G is 1.
我们运用C-正规性质来刻画群的可解性和超可解性,并得到了一些很好的结论:设M为群G的一个极大子群,若M的任一Sylow子群在G中C-正规,则G超可解;MG,且为G之极大子群,M的每一个素数阶子群在G中C-正规及M的任何Sylow子群的Frattini子群为1,则G超可解。
3.
And if all Sylow subgroups of A and B are semi-normality in G,then G is supersolvable;if G is finite group,then N G,G/N is supersolvable;if all prime subgroups of N include in U(G),and all 22 steppes of circulation subgroup of N are semi-normality or C-normality in group G,then G is supersolvab.
利用某些半正规或 C-正规子群刻划有限群的结构 ,得到有限群超可解的若干充分条件 :设有限群 G =AB,其中 A≤ G,B≤ G。
6) weakly c-normal
弱c-正规
1.
A subgroup H of a finite group G is said to be weakly c-normal in G if there exists a subnormal subgroup K of G such that G = HK and H∩K ≤ HG, where Hq is the maximal normal subgroup of G that is contained in H.
群G的一个子群H称为在G中弱c-正规,若存在G的一个次正规子群K使得G=HK且H∩K≤H_G,其中HG=∩_g∈_GH~9是包含在H中G的最大的正规子群。
2.
A subgroup H of a finite group G is said to be weakly c-normal in G if there exists a subnormal subgroup K of G such that G=HK and H∩K≤ HG,where HG is the maximal normal subgroup of G that is contained in H.
群G的一个子群H称为在G中弱c-正规,若存在G的一个次正规子群K使得G=HK且H∩K≤HG,其中HG=∩g∈GHg是包含在H中G的最大的正规子群。
补充资料：连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt，n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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