Clifford对应的推广

设H为任意有限群G的一个次正规子群，θ为H的一个不可约复特征标．文章证明了若特征标对(H，θ)在G中满足共轭封闭性，则特征标的诱导可定义一个双射：Irr(T|θ)→Irr(G|θ)，ξ|ξ^G，其中T=IG(H，θ)为该特征标对在G中的惯性群．此外，定理还推广了著名的Clifford对应以及Isaacs在1984年提出的极大Fn-对应．     

拟格序群上的θ-不变闭子集

设（G,G ）是一个拟格序群,Ω是G 的定向可传子集全体,赋以乘积空间|0,1|^G 的诱导拓扑．对任意的t∈G ,记Ωt=|B∈Ω|t∈B|,令θt为从紧Hausdorff空间Ω到Ωt的同胚映照．任给H∈Ω,记S(H)为Ω的由H所生成的θ不变的闭子集．作者刻划了S(H)的拓扑结构．     

M-群子群的Fong特征标

设G为M—群，N为G的正规子群，H为G的Hallπ—子群且χ为G的一个Bπ—特征标．本通过讨论H∩N在N中的Fong特征标，得到了χ的级数存在分解式为χ(1)＝α(1)θ(1)的一个充分条件，其中α为H在G中与χ相伴的一个Fong特征标，而θ为χ在N上限制的一个不可约分量．     

具有5n+4个点的5部图的色性

设G是简单图，用P(G，λ)表示图G的色多项式，若P(G，λ)=P(H，λ)，则称G与H是色等价．令H～G，令{G}={H|H～G)，若对任意的图G有{G}={G}，称G是色唯一的．设G表示具有5n 4个点的完全5部图，令θ(G)=(m5(G)-2^n 2-2^n-1 5)／2^n-1，其中m5(G)表示G的6-独立分划个数．本文证明了θ(G)≥0且刻划θ(G)=0，1，3／2，2，5／2，13／4的图．利用此结果研究了图G—S的色性，其中S是图G某些边组成的集合，G—S表示从G中删去S中所有的边得到的图，进而得到许多色唯一的5部图．     

关于有限群的s-半正规子群Ⅱ

有限群G的一个子群H称为在G中s-半正规,如果H同G的所有阶与1H1互素的Sylow子群相乘可换．研究了s-半正规子群的一些基本性质和它们是如何影响群结构的．主要结果如下：(1)假设N是有限群G的一个正规子群使得G／N是p-幂零群,其中P为|G|的素因数并且(|G|,p-1)=1.如果N的一个Sylow p-子群Np的所有极大子群都在G中s-半正规,则G是p-幂零群．(2)假设N是有限群G的一个正规子群使得G／N是超可解群．如果N的每个Sylow子群的全体极大子群都在G中s-半正规,则G是超可解群．     

π-可分群子群的Fong特征标

G为π-可分群，H为G的Hall π-子群，N为G的正规子群，G=NH，α∈Irr(H)，β∈Irr(M)，θ∈Bπ(N)，χ∈Bπ(G)它们存在诱导关系，即α=β^H，χ=θ^G。的条件下，本文讨论了α为H在G中与χ相伴的Fong特征标与β为M在N中与θ相伴的Fong特征标之间的关系．     

特征标三元组的上同调元素

设N为有限群G的正规子群，θ为N的G-不变的不可约复特征标．文章探讨了与特征标三元组(G，N，θ)相伴的上同调元素ω(θ)∈H^2(G／N，C^*)的若干乘法性质，并用此研究了两个特征标三元组的同构问题，以及可解正规子群上完全可分解的特征标到大群的扩张问题．     

Brauer特征标的扩张

设G为有限群,N△G且G/N可解.用Irr(G)表示G的不可约(复)特征标集合.如果θ∈Irr(N)为G-不变特征标且(θ(1),|G∶N|)=1,I.M.Isaacs证明了,θ可扩张当且仅当行列式特征标det(θ)可扩张.在此基础上考虑关于此定理的p-Brauer特征标的形式.用IBr(G)表示G的不可约p-Brauer特征标的集合.假设θ∈IBr(N)为G-不变的且(|G∶N|p′,θ(1))=1,其中p为1个固定的素数,则θ可扩张到G当且仅当det(θ)可扩张到G.     

有限超可群的一些充要条件I

主要证明了如下命题等价：（1）G是超可群解；（2）对G的任一极大子群M，G有正规子群K使|K：Mc|为素数；（3）对G的任一极大子群M，G有正规子群K使K／MG为非平凡的循环群；（4）G的每个极大子群M补于G的循环因子；（5）G有正规子群H使1＝H0＜H1＜…＜Hn=H为G的主列片段，其中G／GG（Hi 1/Hi）为幂指数整除pi-1的Abel群，pi∈π（Hi 1/Hi),1≤i≤n,且n-1∩i=0CG（Hi 1/Hi）≤H；（6）对G／Φ（G）的每个极小正规子群N／Φ（G）．G／CG（N／Φ（G））为幂指数整除p的Abel群，p∈π（N／Φ（G））。     

关于Catlin—猜想的反例

Catlin的2／3－猜想：若G是超欧拉图，G≠K1，那么G有一个欧拉生成子图H，使得|E(H)|≥2／3|E(G)|。给出了Catlin的2／3－猜想的一些反例。     

基于Pr/T网的网格安全体系结构的分析

网格安全体系结构GSI保障了网格环境的安全认证和安全通信,它为网格环境提供了一系列的安全协议、安全服务和命令行程序。它在实现时过程比较复杂,一般的建模图只能描述它的主要过程和静态特征,难以分析其动态特性及细节。Pr/T网能够直观地描述非确定性,以图形化的方式表示及运用数学工具模拟与分析复杂系统。利用Pr/T网的这些特性来描述和分析网格安全体系结构GSI中的任务提交与执行过程。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with