真子群的英文

• proper subgroup

• "真"英文翻译    true; genuine; real
• "子"英文翻译    son
• "群"英文翻译    crowd; group
• "真子" 英文翻译 :    jinko; mako; manago; manako; masago; masako; s-382; shinko
• "子群" 英文翻译 :    blockette; sub group; subpopulation; subgroup; subunit
• "村 真子" 英文翻译 :    see-through 2
• "秋真子" 英文翻译 :    princess mako of akishino
• "真子簇" 英文翻译 :    proper subvariety
• "真子弧" 英文翻译 :    propersubarc
• "真子集" 英文翻译 :    proper su et; proper subset; propersu et; subset
• "真子类" 英文翻译 :    proper subclass
• "真子模" 英文翻译 :    proper submodule; propersubmodule
• "真子商" 英文翻译 :    proper subquotient; propersubquotient
• "真子图" 英文翻译 :    proper subgraph
• "真子座" 英文翻译 :    eustorma
• "闭子群" 英文翻译 :    closed subgroup
• "黑子群" 英文翻译 :    sunspot group
• "紧子群" 英文翻译 :    compact subgroup
• "离子群" 英文翻译 :    cluster ion
• "李子群" 英文翻译 :    lie subgroup
• "粒子群" 英文翻译 :    pso
• "量子群" 英文翻译 :    quantum group
• "挠子群" 英文翻译 :    torsion subgroup
• "旋子群" 英文翻译 :    spinor group
• "因子群" 英文翻译 :    factor group

• 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设g是非阿贝尔的内有限群，则g的每个非平凡真子群都是素数阶循环群的充分必要条件是g是单群， g的每个真子群幂零且g的每个非平凡的真子群自正规化定理2
• 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
  本文在前人的基础上，讨论了以下内容： ( 1 )极大子群的子群偶和c正规性、弱c正规性、 s正规性、正规指数之间的关系； ( 2 )利用s正规性得到了关于有限群可解性的几个结果； ( 3 )将极大子群的子群偶推广为有限群的一般真子群的偶，证明了有限群的c正规、弱c正规以及s正规子群都可以用一般真子群的偶来描述和几个新的结果； ( 4 )研究p拟幂零群和p ~ *幂零群，得到了一些新的结构定理。
• 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设g是满足极大条件的无限单群，则g是内有限群，而且g的每个非平凡真子群是阿贝尔群的充分必要条件是对g的任意非平凡元x ，有c _ g ( x )是g的含x的唯一极大子群且c _ g ( x )是有限的。

• 真子群的日语：しんぶぶんぐん