solvable group 中文意思是什麼
solvable group
解釋
可解群-
Automorphism group of solvable complete lie algebras with quasi filiform radical
根基的可解完備李代數的自同構群 -
Sufficient and necessary conditions for solvable finite group
關于有限群可解的充要條件 -
Sufficient and necessary conditions for a finite group to be solvable
有限群可解的若干充分必要條件 -
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。 -
More recently mark l. lewis in [ 10 ] gave a complete classification of the following special case : the group g is solvable and p ( g ) has 2 connected components
在文[ 10 ]中markl lewis對于有兩個連通分支的有限可解群的結構作了完整的分類研究。 -
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。 -
Some results are the following : ( 1 ) letg be a finite group having two maximal subgroups that are solvable and not conjugate ing. if the maximal subgroups are weakly quasinormal ing, then g is solvable
本文主要獲得了下列結論: ( 1 )若群g有兩個不共軛的可解極大子群均在g中弱擬正規,則g可解。 -
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。
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