finite subgroup 中文意思是什麼

finite subgroup 解釋
有限子群
  • 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.
  • subgroup : n. 【化學】（周期表的）族；副族，B族；【生物學】亞群，子群；【數學】簇，子群。
  1. Theorem 3. 9 if g is locally finite p - group and c * ( p ) - group, then the nilpotent class of g is at most 3 and the derived subgroup of g is elementary abelian p - group

    定理39若局部有限屍群g是c 「卜群，則g的類最多為3且g 』是初等阿貝爾p群
  2. Finite determinacy of bifurcation problem under the action of the subgroup of d

    子群作用下的分歧問題的有限決定性
  3. Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer

    4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2
  4. 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。
  5. Weakly c - normal subgroup of finite group and solvability

    正規子群與有限群的可解性
  6. The influence of fitting subgroup on structureof a finite group

    子群對群結構的影響
  7. 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。
  8. Characterization of finite cyclic group and research in the properties of cyclic subgroup

    有限循環群的刻劃以及子群的性質研究
  9. In 1, we give main definitions and basic results that are needed in the paper. in 2, we determine 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 ) let g be a finite group and p be a sylow p - subgroup of g where p is a prime divisor of | 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，主要結果是1 ）設g為有限群， p為| g |的素因子， p為g的sylowp -子群。
  10. 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。
  11. The influence of subgroup c - normality of subgroups on the structure of finite groups

    正規性對群結構的影響
  12. C - normal subgroup of finite group and solvability

    正規子群與可解性
  13. Theorem 2. 5 let g be an infinite simple group that satisfies maximal condition. g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g, cg ( x ) is the only maximal subgroup that contain x. s * ( a *, c * ) - groups can be regarded as a generalizations of dedekind groups, since all of dedekind groups are s * ( a *, c * ) - groups

    5設g是滿足極大條件的無限單群，則g是內有限群，而且g的每個非平凡真子群是阿貝爾群的充分必要條件是對g的任意非平凡元x ，有c _ g （ x ）是g的含x的唯一極大子群且c _ g （ x ）是有限的。
  14. 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。
  15. We define the concepts : weakly quasinormal subgroup and s - weakly quasinormal subgroup and come to some new criteria of solvability, supersolvability and nilpotence of finite groups under the assumptions that the groups have some kinds of weakly quasinormal or 5 - weakly quasinormal subgroups

    本文利用弱擬正規子群及s -弱擬正規子群來研究有限群的結構，得到了有限群的可解性、超可解性以及冪零性的一些新刻畫。
  16. 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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