关于导群循环的有限p-群的整群环的自同构群

设G是有限群,p总是一个素数。我们已经得到：导群的阶为素数的有限群为E．R．群,从而进一步得到：有限群为E．R．群的两个充分条件。在这篇注记中,我们将结论进一步推广,证明了：导群循环的二元生成的有限矿群G是E．R．群。     

广义极小非幂零群

若有限群非幂零但其所有真子群均幂零,则称其为一个极小非幂零群．一类群称为广义极小非幂零群,如果它有一个非幂零真子群使得其它不包含在这个子群中的所有真子群均为幂零的．证得这类群可解,并讨论了该类群的子群的性质．     

关于Camina群的基本定理

设K是有限群G的一个非平凡正规子群，如果对于每个X∈G-，X与xy A∈K，那么，称G为以K为核的Camina群．A．R．Camina建立了关于Camina群的一个基本定理．作者给出了这个基本定理的一个初等证明，这个初等证明不但避免使用M．Suzuki的质幂元单群的分类定理，还同时改进了这个基本定理的结论．此外，所用的证明方法还为基本定理的原证明过程中的一个重要引理提供了一个很简洁的证明．最后，得到Camina群是Frobenius群的一个充分条件以及Camina群是以其换位子群为核的Frobenius群的一个充分条件．     

p-可分解群的一个定理

极小子群在有限群的研究中占据着重要的地位．本文利用了极小子群的弱c-正规性刻画了极小子群对有限群构造的影响，得出了p-可分解群的一个结果．     

有限群是E．R．群的两个充分条件

设G是有限群，文章中给出了G是E．R．群的两个充分条件。证明了若G的一个Sylow—P群P是循环群，且G’≤P，则G是E．R．群。研究结果推广了著名的定理。     

关于群类的某些性质

考察了三个群类的类属性,证明了这些群类都是Fitting类,并对其中一个群类p-幂零群类Np作了进一步的讨论,证明了Np是饱和群系．且Np-群群类为p-可分群类．     

￡群的一个判别准则

设￡=LF(f)是一个子群闭的局部群系满足每个极小非￡群是可解群．证明了：如果一个群G的每个4阶循环子群在G中弱c正规．且每个素数阶元含于Z∞^f(G)，那么G是一个￡群．由此获得了一些新的结论.并且推广了关于幂零群与超可解群的一些已知结果．     

一类群的同调对偶性

研究了由有限群与一个无扭群生成的群的同调对偶性问题．其结果与Ｆａｒｒｅｌ上同调理论中的相应结果是互不涵盖的．通过对群关于其子群的相对（上）同调的研究，将上述类型群的讨论纳入某种有限类型的复形链研究之中，从而给出了有一般意义的方法．     

有效的动态群签名方案

引入了动态群签名的概念,动态群签名是可以灵活地增删群成员的群签名．接着又提出了一个有效且安全的动态群签名方案。新提出的动态群签名方案的签名长度,以及签名与验证的工作量均独立于群成员与已删除群成员的人数．     

π－超可解群

π－超可解群路在平（曲阜师范大学数学系，２７３１６５，山东省曲阜市）定义设π为一素数集．有限群Ｇ称π－超可解群，若Ｇ的主因子或为π′－群或为循环群；有正规π－补的π－超可解群称为特殊π－超可解群．易知π－超可解性对子群及商群封闭．定理１设群Ｇ是π－超...     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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