nilpotent group 中文意思是什麼
nilpotent group
解釋
冪零群-
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 -
Convolution operators on two step nilpotent lie group convolution operators and its test function space
卷積運算元類及其試驗函數空間 -
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 -
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。 -
In this aspect, kondrat ' ev [ ll ] has shown that a group g is 2 - nilpotent if the normalizer of each sylow subgroup of g is of odd index in g. in 1995, zhang [ 13jhas proved that a group g is soluble if the index of the normalizer of every sylow subgroup in g is a prime power
1988年， kondrat 』 ev卜11證明了:如果群g的任意西洛子群的正規化子在g中的指數為奇數，則g是2一冪零的。 1995年， zhang卜習證明了如果群g的任意西洛子群的正規化子有素數冪指數，則g是可解的。 -
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。 -
Connected nilpotent lie group
連通冪零李群 -
Some sufficient and necessary conditions of - nilpotent group
冪零群的幾個充要條件 -
Theorem 3. 10 if g is locally nilpotent group and c * - group, then g is baer nilpotent and hypercentral group
定理3若局部冪零群g是c二群，則g是baer冪零而且是超限上中心群 -
Theorem 3. 11 if g is torsion locally nilpotent group and c ( p ) - group, then the nilpotent class of g is at most 3
定理3 11若周期的局部冪零群g是c 」 …卜群，則g的類最多為3 -
So we can easily obtain nilpotent class of s * ( a *, c * ) - groups and the structure of their derived subgroup in the case of torsion and locally nilpotent group
從而進一步得到了周期的局部冪零群的冪零類及導群的結構。 -
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 -
We prove that the strong and weak topological contractions for automorphisms of connected lie groups are equivalent. we also get that the connected lie group which admits a topological contractive automorphism must be a nilpotent lie group
證明了連通李群自同構的強拓撲壓縮性質與弱拓撲壓縮性質等價；存在拓撲壓縮自同構的連通李群是冪零的。
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