normal subgroup 中文意思是什麼
normal subgroup
解釋
不變子群-
In 1996, guo [ 9 ] has further proved that the index of the normalizer of every sylow subgroup of g is an odd number or a prime if and only if g is a soluble group and g = kh, where k and h are the hall subgroups of g, k is a nilptent subgroup which is normal in a 2 ' - nilpotent. in this paper, we shall study the nilpotent length of finite groups whose sylow normalizer indices are of prime powers
1996年，郭文彬教授沙1證明了一個群g的西洛子群的正規化子的指數為奇數或為一個素數冪當巨僅當g為可解群而且g二尤廳，其中k和h都是群g的hall一子群， k是正規于g的一個2 』一月恤21子群的冪零子群， h是2一冪零群。 -
Weakly c - normal subgroup of finite group and solvability
正規子群與有限群的可解性 -
For a maximal subgroup m of a finite group g the normal index of m is the order of a chief factor h / k where h is minimal in the set of supplements of m in g. in this paper we can obtain some results about solvability and supersolvability by using the normal indexes of maximal subgroups of finite groups
有限群g的極大子群m的正規指數是指g的主因子h k的階，其中h為m在g中的極小正規補。本文利用正規指數的概念，獲得有限群可解，超可解的若干結果。 -
Then g is solvable if and only if there exists a solvable s - normal maximal subgroup m of g ; 3 ) let g be a finite group and mo = 1 where m is a maximal subgroup of g. then g is solvable if and only if m is a supersolvable s - normal subgroup of g and | g : m | = r where r is a prime
則g可解當且張新建:關于有限群的s一止規子群僅當g有一個可解s一正規極大子群m ; 3 ）設g為有限群， m為g的極大子群且mg = l 。則g可解當且僅當m為g的超可解s一正規子群且} g : m = r其中r為素數。 -
Abstract : in this paper we gave the relations of group actions orbits and orbits numbers, and the relation of group with the transtive action normal subgroup conjugatins subgroup and its applicatons
文摘:運用群作用與同態刻劃了群作用之軌道，軌道數與群階數之間的關系，群與它可遷作用正規子群共軛子群之關系及其作用 -
The td - disturbing - valued fuzzy normal subgroup
型擾動值模糊正規子群 -
C - normal subgroup of finite group and solvability
正規子群與可解性 -
Be a normal subgroup of
的一個正規子群，假設 -
And h k is contained in hg, where hg, is the maximal normal subgroup of g and used c - normality of maximal subgroups to determine the structures of some finite groups
） h ~ x是包含在h中的g的最大正規子群。並利用極大子群的c -正規性確定了一些有限群的性質和結構。 -
In this paper, we replace the n normality with n subnormality in c - normal concept to get the weak c - concept. we generalize theorem 3. 4, 3. 5. in [ 1 ]. in this paper, the author gives sufficient and necessary condition of solvable group using the weak c - normality of maximal and sylow subgroup and gets some results about supersolvability and p - nilpotentlity of groups
在這篇文章中，作者研究了弱c -正規的性質並用sylow子群和極大子群的弱c -正規性來確定一些群的結構，給出了一個群為可解群的充分必要條件，同時由極大子群、 sylow子群的弱c -正規性得到群gp -冪零、超可解的有關定理。 -
Level subgroup on the intuitionistic fuzzy groups and the intuitionstic fuzzy normal subgroups
直覺模糊群與直覺模糊正規子群的水平子群 -
There has been much interest in the past in investigating the relation between the properties of maximal subgroups of finite group g and the structure of g. in this aspect, the concept of a c - normal subgroup in a finite group was introduced by wang in [ 1 ] and he proved that a finite group is solvable if and only if m is weak c - normal in g for every maximal subgroup m of g. as an application of the above result, some known theorems were generalized by using the concept " c - normality "
有限群g的極大子群和g的結構之間的關系人們已經作了廣泛的研究， 1996年王燕鳴教授在文[ 1 ]中引進了c -正規的概念，在文[ 1 ]中他證明了一個群是可解的當且僅當g的每個極大子群在g中c -正規。作為上面結論的應用，一些重要結論被c -正規的概念加以推廣。 -
In l, the author gives main definitions and basic results what are needed in the paper. in 2, the author determines the structures of some groups by using s - normality of sylow subgroups and the maximal subgroups of sylow subgroups. there are the main theorems that 1 ) a group g is metanilpotent if and only if every sylow subgroup of g is s normal in g
我們在1中將給出本文所需的主要概念和基本結果，在2中討論sylow子群、 sylow子群的極大子群的s -正規性對群的結構的影響，主要結論是1 ）群g是亞冪零的當且僅當g的每個sylow子群在g中s -正規。 -
We consider the effect of ibrp ( g | n ) to the structure of the normal subgroup n and the extention of n to g. we get the following : theorem 4. 1. 5 let n g, g / n is a p - group
本文對其中部分結果做了推廣，考慮ibr _ p （ g | n ）對正規子群n的結構及n對g的擴張性質的影響。得到下列結果：定理4
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