finite solvable group 中文意思是什麼

finite solvable group 解釋
有限可解群
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • solvable : adj. 1. 可解釋[解答、解決]的。2. 可溶解的。n. -bility 1. 可解釋[解答、解決]。 2. 溶解能力，溶劑化度。
  • group : n 1 群；批，簇。2 集團，團體，小組。3 【化學】基，團，組；（周期表的）屬，族。4 （雕塑等的）群像...
  1. Sufficient and necessary conditions for solvable finite group

    關于有限群可解的充要條件
  2. 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
  3. 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。
  4. 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。
  5. 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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