正規子群 的英文怎麼說
中文拼音 [zhēngguīziqún]
正規子群
英文
invariant subgroup- 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...
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And, isomorphism andf homomorphism issues between the quotient groups determined by yough normal subgroups are further discussed
並討論了由粗正規子群決定的商群之間的同構和同態問題。Weakly c - normal subgroup of finite group and solvability
正規子群與有限群的可解性No groups existing with only two non - normal subgroups
不存在僅有兩個非正規子群的群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The structure of the product of intuitionistic fuzzy normal subgroups
直覺模糊正規子群的乘積結構Rough ideals in a semigroup have been studied and the concepts of rough subsemigroups, rough ideals been first introduced by kuroki n. under the condition of the congruence relation, rough sets of a subsemigroup was proved to be its subsemigroup, while that of a left ( right, bisides ) ideal was also proved to be its left ( right, bisides ) ideal. next, rough sets in a group have been studied and the concepts of rough subgroups, rough nornal subgroups been first introduced
Kurokin研究了半群中的粗理想,首次提出了粗子半群和粗理想的概念,證明了在同余關系下,半群的粗糙集是半群,左(右,雙)理想的粗糙集是左(右,雙)理想。接著,他又研究了群中的粗糙集,首次提出了粗子群和粗正規子群的概念,證明了在群中一固定的正規子群所決定的同余關系下,子群的粗糙集是子群,正規子群的粗糙集是正規子群。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。Afinite group when its sylow groups ' s maximal subgroups are m - normal
極大子群是次正規子群的有限群Abstract : in this paper we gave the relations of group actions orbits and orbits numbers, and the relation of group with the transtive action normal subgroup conjugatins subgroup and its applicatons
文摘:運用群作用與同態刻劃了群作用之軌道,軌道數與群階數之間的關系,群與它可遷作用正規子群共軛子群之關系及其作用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。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。Using the - threshold, some definitions of the anti - fuzzy subgroups, anti - fuzzy normal subgroups, anti - fuzzy normalize and anti - fuzzy centralizer are introduced. some properties of anti - fuzzy subgroups are discussed
摘要本文利用-截集引入了反模糊子群、反模糊正規子群、反模糊正規化子及反模糊中心化子的概念,並討論了它們的性質。The td - disturbing - valued fuzzy normal subgroup
型擾動值模糊正規子群C - normal subgroup of finite group and solvability
正規子群與可解性Finite groups whose maximal subgroups of sylow subgroups are s - seminormal
正規子群與有限群的可解性Be a normal subgroup of
的一個正規子群,假設On nearly normal subgroups
關于幾乎正規子群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。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。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。分享友人