特征标群

Finite commutative group; Symmetric bicharacter; Lie color superalgebra ; Left color symmetric algebra ; Left color symmetric structure

基础科学，数学，代数、数论、组合理论有限交换群；对称双特征标；着色李超代数；左着色对称代数；左着色对称结构

Chapter 7 is concerned with one of the more important techniques for the application of characters to group theory.

第7章介绍了一个非常重要的工具，它可将特征标应用于群论。

The structure of grade system and characteristics of the rural settlements group in Pinghu County are measured and analyzed with the Hausdorff dimension of settlements group, taking the township as a unit.

应用Hausdorff维数，以乡为单位，测算并分析了平湖县乡村聚落群的等级体系结构与组成特征；在乡级聚落群体系中，残遗聚落与发展聚落不属于无标度区

Given a p-solvable group G and an irreducible Brauer character χof G with respect to the prime p.

给定一个p-可解群G以及G的一个关于该素数p的不可约B rauer特征标χ。

Chapter 12 deals with the commectios between the set of degrees of the irreducible characters and the structure of a group.

第12章主要研究不可约特征标次数集合和群结构之间的关系。第13章主要是对Glauberman的一篇论文的解释。

The results show that, firstly, Stellera chamaejasme L, which rely on their developed axial root system in the 10～40cm soil layer to occupy the competitive priority of volume, length, surface area and so on, in the case of their adaptive faculty to poor surroundings resulting from fruit picking, trampling and overgrazing as well as with the phenomenon of restrained growth among various plants, gradually become the dominant plant in the herbaceous community; secondly, this kind of degraded grassland has not displayed any general characteristic of degradation such as surface exposure, accumulative quantity of vegetation reduced, water loss, soil erosion and so on, therefor, it should be dealt with distinguishingly; thirdly, if"Stellera chamaejasme L Killer"and"Oxytropis ochrocephala Killer"invented by CAS are taken advantage of respectively in the bloom period of Stellera chamaejasme L and at the beginning of florescence of Oxytropis ochrocephala bunge by ultra-low volume spray of 1. 05L/hm〓 and 1. 35～165L/hm〓 dosage separately, the death rates of poisonous herbs may achieve above 95% and 92% correspondently; fourthly, this technology with the characteristics of high work efficiency, exclusive selectivity and convenient operation, is safe to non-target plants and other animals, and has no toxic or side-effect to environment; furthermore, an execution of"Stellera chamaejasme L Killer"spray and a two-year grazing prohibition can be effectively applied on degraded grasslands of"Weed and Poisonous plants Type".

结果表明：狼毒凭借发达的轴根系在10～40cm土层中形成的体积、长度、表面积等竞争优势，以及对采食、践踏、过度放牧所形成的不良环境的适应能力和异株克生现象的存在，逐步成为草群中的优势植物；毒杂草型退化草地没有表现出地表裸露、植物蓄积量减少、水土流失等一般性退化特征，对该类草地的治理应区别对待；应用中科院研制的'灭狼毒'和'灭棘豆'分别在狼毒盛花期和黄花棘豆初花期，以1.05L/hm〓、1.35～165L/hm〓的施用量超低容量喷雾，毒草的死亡率可达到95％、92％以上；该技术具有工效高、选择性专一、灭效高、操作简便，对非靶标植物和其它动物安全，对环境无毒副作用的特点；采用喷施'灭狼毒'+短期禁牧措施，可以有效治理毒杂草型退化草地。

On the other hand, a is invariant in G/N if χ is viewed as a character of G/N for normal subgroup N≤kerχ.

另外，我们定义的特征标次数的商a与我们将χ看成那个商群G／N无关。

Inspired by Burnside's theorem and the above other two propositions, we consider the question: whether the structure of a finite group G is restricted provided that the number of character zeros in its character table is"small"?

受Burnside定理及上述两命题的启发，我们考虑这样的问题：当G的特征标表中出现的零点个数&很少&时，是否G的群论结构有很大限制？

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷