弱正規子群 的英文怎麼說

中文拼音 [ruòzhēngguīziqún]
弱正規子群 英文
weakly normal subgroup
  • 弱 : Ⅰ形容詞1 （氣力小; 勢力差） weak; feeble 2 （年幼） young 3 （差; 不如） inferior 4 （接在分數或...
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 規 : Ⅰ名詞1 （畫圓形的工具） instrument for drawing circles 2 （規則; 成例） rule; regulation 3 [機械...
  • 子 : 子Ⅰ名詞1 （兒子） son 2 （人的通稱） person 3 （古代特指有學問的男人） ancient title of respect f...
  • 群 : Ⅰ名詞（聚在一起的人或物） crowd; group Ⅱ量詞（用於成群的人或物） group; herd; flock
  • 正規 : regular; standard; normal正規部隊 regular troops; regulars; 正規教育 regular education; proper ed...
  1. The fluence of weakly quasinormal subgroups on the structure of finite group

    弱擬正規子群對有限群結構的影響
  2. Note that the subnormal conditions are weaker than that of normality, we try to use the subnormal conditions replace the normal conditions. it follows that s - normality of a group is defined. using s - normality of maximal subgroups, sylow subgroups and the maximal subgroups of sylow subgroups, we determine the structures of some groups

    考慮到次正規的條件比正規的條件弱，我們用次正規的條件代替正規的條件，從而引進了s -正規子群的概念，並運用sylow子群、 sylow子群的極大子群、極大子群的s -正規性確定一些群的結構，從而將許多已有的結論進行了推廣。
  3. It is important to study the structures of finite groups by combining some subgroups with some properties in the researches on finite groups. in this paper, we discuss the following : ( 1 ) the relations between the - pairs of maximal subgroups and c - normality, weak c - normality, s - normality, the normal index of maximal subgroups ; ( 2 ) some results on solvablity of finite groups that are obtained by using the s - normality of subgroups ; ( 3 ) the - pairs of general proper subgroups of finite groups as the generalization of the - pairs of maximal subgroups that is used to describe c - normal subgroups, weak c - normal subgroups and s - normal subgroups, by which some new results on finite groups are obtained ; ( 4 ) some new results on p - quasinilpotent groups and p * - nilpotent groups

    本文在前人的基礎上，討論了以下內容： （ 1 ）極大子群的子群偶和c正規性、弱c正規性、 s正規性、正規指數之間的關系； （ 2 ）利用s正規性得到了關于有限群可解性的幾個結果； （ 3 ）將極大子群的子群偶推廣為有限群的一般真子群的偶，證明了有限群的c正規、弱c正規以及s正規子群都可以用一般真子群的偶來描述和幾個新的結果； （ 4 ）研究p擬冪零群和p ~ *冪零群，得到了一些新的結構定理。
  4. 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。
  5. This paper deals with some kinds of weakly quasinormal subgroups to obtain a series of sufficient conditions which imply a finite group to be supersolvable

    摘要利用弱擬正規子群，得到有限群成為超可解群的一系列充分條件。
  6. 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。
  7. ( 7 ) assume thatg has two nilpotent maximal subgroups not conjugate ing, which are weakly quasinormal ing, then g is nilpotent if and only if g has no section isomorphic to d, where d is identical with one in ( 6 )

    （ 7 ）若群g存在兩個不共軛的冪零極大子群均在g中弱擬正規，則g冪零當且僅當g與d型群無關，其中d型群的定義同（ 6 ）中d型群的定義。
  8. 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。
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