index of a subgroup 中文意思是什麼
index of a subgroup
解釋
子群的指數-
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。 -
For a maximal subgroup m of a finite group g the normal index of m is the order of a chief factor h / k where h is minimal in the set of supplements of m in g. in this paper we can obtain some results about solvability and supersolvability by using the normal indexes of maximal subgroups of finite groups
有限群g的極大子群m的正規指數是指g的主因子h k的階，其中h為m在g中的極小正規補。本文利用正規指數的概念，獲得有限群可解，超可解的若干結果。 -
The aim of this survey paper is to help the reader to navigate through the major developments of the literature and to incorporate recent theoretical research results with a particular focus on different formulations and interpretations of the gini index, its social welfare implication, and source and subgroup decomposition
因此，這個綜述的主要目的是幫助讀者在比較短的時間里了解基尼系數研究的主要發展線索和理論成果，包括基尼系數的各種公式及其解釋，基尼系數的社會福利涵義，以及基尼系數的收入來源和收入群體的分解。
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