nilpotent length 中文意思是什麼
nilpotent length
解釋
冪零長度-
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 particular, bryce, fedri, serens and guo ( [ 2 ] and [ 8 ] ) have studied the nilpotent length of the groups in nf, where is the class y of all supersoluble groups or the class nr of groups with nilpotent length r
特別是， bryce ， fedri和serens以及郭（ [ 2 ]和[ 8 ] ）對n ~ f中的群的冪零長度作出了研究，其中是所有超可解群類y ，或者是冪零長度r的群類。 -
In section 2. 2, we prove that if the set of arrows in a quiver is not empty, then nq is not semisimple. we construct the nonsovable subalgebra of nq when there is no less than one circle whose length is bigger than one, and there is no loop in quiver q, thus leads to a conclusion that nq is nonsovable. using the index arrays to discuss the operation of necklace word. construct a sovable subalgebra of nq, which is not nilpotent. this shows that nq is not nilpotent provided that there is a cyclic with length bigger than 1
當箭圖中有長度大於1的循環，且無圈時，構造了n _ q的非可解子代數，從而證明了n _ q是不可解李代數。我們還利用指標數組討論了項鏈字的運算，構造了n _ q的可解非冪零子代數，從而證明了當箭圖中有長度大於1的循環時，項鏈李代數非冪零。在2
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