finite nilpotent group 中文意思是什麼

finite nilpotent group 解釋
有限冪零群
  • 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.
  • nilpotent : 冪零的
  • 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. 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. 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
  3. 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。
  4. By using the properties of - hypercenter and - homogeneous, some sufficient and necessary conditions for a finite group to be - nilpotent are obtained. and some well - known theorems are generalized

    摘要利用-超中心和-齊次性的性質，對-冪零群作了較詳盡的研究，得到了有限群為-冪零群的幾個充要條件，推廣了一些著名的定理。
  5. Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree

    素數階群按樹上有限交換冪零半群的單純理想擴張
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