Injectors and Radicals in Products of Totally Permutable Groups

Abstract

Two subgroups H and K of a group G are said to be totally permutable if every subgroup of H permutes with every subgroup of K. In this paper the behaviour of radicals and injectors associated to Fitting classes in a product of pairwise totally permutable finite groups is studied.     

Significance of data treatment and experimental setup on the determination of copper complexing parameters by anodic stripping voltammetry

Different procedures of voltammetric peak intensities determination, as well as various experimental setups were systematically tested on simulated and real experimental data in order to identify critical points in the determination of copper complexation parameters (ligand concentration and conditional stability constant) by anodic stripping voltammetry (ASV). Varieties of titration data sets (Cu_measuredvs. Cu_total) were fitted by models encompassing discrete sites distribution of one-class and two-class of binding ligands (by PROSECE software). Examination of different procedures for peak intensities determination applied on voltammograms with known preset values revealed that tangent fit (TF) routine should be avoided, as for both simulated and experimental titration data it produced an additional class of strong ligand (actually not present). Peak intensities determination by fitting of the whole voltammogram was found to be the most appropriate, as it provided most reliable complexation parameters.Tests performed on real seawater samples under different experimental conditions revealed that in addition to importance of proper peak intensities determination, an accumulation time (control of the sensitivity) and an equilibration time needed for complete complexation of added copper during titration (control of complexation kinetics) are the keypoints to obtain reliable results free of artefacts.The consequence of overestimation and underestimation of complexing parameters is supported and illustrated by the example of free copper concentrations (the most bioavailable/toxic specie) calculated for all studied cases. Errors up to 80% of underestimation of free copper concentration and almost two orders of magnitude overestimation of conditional stability constant were registered for the simulated case with two ligands.     

Study on rotational energy transfer in diatomic molecules in the separable kernel approximation: An analytical approach

In this article, we present a new technique for determining the transition probabilities per collision using a set of transition rates per unit time. The problem is solved by introducing a normalization function, which is readily found from a recursion equation for the case of separable kernels. A classical approach to rotation of molecules allows the line-broadening coefficients, the moments of energy transfer, and the mean number of collisions to be calculated analytically in terms of the exponential energy-gap law.     

On s-semipermutable subgroups of finite groups

Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.     

有限群的X-s-置换子群

Let X be a nonempty subset of a group G.A subgroup H of G is said to be X-s-permutable in G if there exists an element x ∈ X such that HPx = PxH for every Sylow subgroup P of G.In this paper,some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.     

The influence of minimal subgroups on the structure of a finite group

We study the detailed structure of a finite group under the assumption that all minimal subgroups of the generalized Fitting subgroup of some normal subgroup of are well-suited in .

     

利用特征光谱荧光标记与高斯拟合分析水体中有机物的特性

讨论了一种自然水体中有机物的快速分析方法,以激光诱导荧光(LIF)方法测量了水体的总荧光光谱(TLS);利用特征光谱荧光标记(SFS)技术对水体中溶解有机物(DOM)及叶绿素a(Chl a)的荧光光谱进行了正确的指认和提取。以最小二乘法-Gaussian拟合对水体的TLS进行了拟合,可有效地分离出拉曼散射及荧光光谱,拟合的相关系数优于0.996 4。结果表明,通过在TLS中利用SFS技术正确的指认特定污染物,并以Gaussian拟合进行有效地提取,可以进行水体污染物的快速、实时和在线监测。     

多光谱辐射测温的正交多项式回归方法

对于多光谱辐射测温问题,传统的数据处理方法多为最小二乘法、多元线性回归拟合和逐步回归拟合。这些处理方法自身都存在一定的缺陷,使得拟合结果与物体表面真温之间存在一定的误差。文章在可变发射率模型的基础上,提出了对多光谱辐射测温数据处理的另一种新方法——正交多项式回归方法。文章阐述了正交多项式回归的数学基础,并根据钨表面在不同温度下的光谱发射率数据,分别采用逐步回归方法和正交多项式回归方法,对钨表面的真温进行了模拟。通过拟合结果的对比发现用正交多项式回归方法来处理数据,其原理简单、运算量小,拟合结果与表面真温之间的相对误差也较小。得出的结论是用正交多项式回归方法对多光谱辐射测温的数据进行处理,拟合结果比传统方法误差小、速度快、精度高。     

有限群的最大子群的性质对群结构的影响

有限群G的一个子群称为在G中是π-拟正规的若它与G的每一个Sylow-子群是交换的.G的一个子群H称为在G中是c-可补的若存在G的子群N使得G=HN且H∩N≤HG=CoreG(H).本文证明了:设F是一个包含超可解群系u的饱和群系,G有一个正规子群H使得G/H∈F.则G∈F若下列之一成立:(1)H的每个Sylow子群的所有极大子群在G中或者是π-拟正规的或者是c-可补的;(2)F*(H)的每个Sylow子群的所有极大子群在G中或者是π-拟正规的或者是c-可补的,其中F*(H)是H的广义Fitting子群.此结论统一了一些最近的结果.     

两类求解刚性常微分方程的指数拟合法

本文提出了两类不需计算高阶全导数的３价和４价指数拟合的单步法，这些方法分别改进或推广了［１］－［４］中的某些方法，初步数值试验表明，这些方法用于求解某些ｓｔｉｆｆ问题，优于［１］－［４］中同阶方法。