乘积因子群的P—超可解性

Ｇ为有限群，Ｃ＝Ａ．Ｂ，其中Ａ，Ｂ为Ｇ的Ｐ－超可群正规子群，文中讨论了当［Ａ，Ｂ］满足一定条件时，Ｇ的Ｐ－超可解性。     

一类Bp群及其应用

群Ｇ称为Ｂ＿ｐ群，如果Ｎ＿ｇ（Ｐ）为ｐ－幂零蕴含Ｇ为Ｐ－幂零。证明了以下结论：１）设Ｐ为有限群Ｇ的ｐ－Ｓｙｌｏｗ子群，如果Ｐ的每极小子群及４阶循环子群在Ｐ内拟正规，则Ｇ为Ｂ＿ｐ群２）设Ｐ为有限群Ｇ的Ｐ－Ｓｙｌｏｗ子群。如果Ｐ的极小子群及４阶循环子群在Ｎ＿Ｇ（Ｐ）内拟正规，且其每元与Ｎ＿Ｇ（Ｐ）的每ｑ－元（ｑ＜ｐ）可交换相乘，则Ｇ为Ｐ－幂零。３）有限群Ｇ若有正规子群Ｎ，使Ｇ／Ｎ∈，又对每Ｐ∈Ｓｙｌ（Ｎ）．均有Ｐ的极小于群及４阶循环子群在Ｎ＿Ｇ（Ｐ）内拟正规，则Ｇ∈。其中为包含超可解群系的饱和群系。     

R—G空间及其对覆盖空间的应用

本文研究了Ｒ－Ｇ空间及其对覆盖空间的应用，设Ｂ是一拓扑空间，是其覆盖空间，π１表示Ｂ的基本群。我们得到：ｐ＾－１（ｂ）（ｂ∈Ｂ）是－Ｒ－Ｇ空间，以及，如Ｅ是 肿或道路连通的，则Ａ（Ｐ＾－１）ｂ），π１（Ｂ））≌π１（ｐ．π１，这里Ａ（Ｐ＾－１（ｂ），π１（Ｂ）是Ｒ－Ｇ空间ｐ＾－１（ｂ）上的自同要群。我们给出一个代数拓扑的证明。     

有限群的S－拟正规子群

利用Ｓ－拟正规群的概念，得到如下结果定理１设Ａ、Ｂ是Ｇ的可解子群，且Ｇ＝ＡＢ，若Ａ、Ｂ在Ｇ里Ｓ－拟正规，刚Ｇ可解．定理２设Ａ、Ｂ为Ｇ的幂零子群，且Ｇ＝ＡＢ，若Ａ、Ｂ在Ｇ内Ｓ－拟正规，则Ｇ幂零．     

关于πσ—幂零群

文章在陈重穆专著的基础上对πσ—幂零群进行研究，得到了Ｆｒｏｂｅｎｉｕｓｐ－幂零准则的推广：设Ｇ为有限群，则以下三条等价：１）Ｇ为πσ—幂零群；２）对任意π—子群Ｂ：１＜Ｂ＜Ｇ，有ＮＧ（Ｂ）为πσ—幂零群；３）任意π—子群Ｂ，有ＮＧ（Ｂ）／ＣＧ（Ｂ）为π—σ—Ｓｙｌｏｗ塔群。显然，以上结果是对ｐ—幂零，σ—Ｓｙｌｏｗ塔及π—幂零的统一推广     

一类有限Abel群G的构造

确定有限阶群的构造，是有限群理论的核心问题，本文从群Ｇ的自同构群Ａ（Ｇ）入手，利用群Ｇ的自同构群Ａ（Ｇ）的阶来刻划群Ｇ的构造，采有了一种罗为简便的方法证明了下面的结果：定理设Ｇ是有限Ａｂｅｌ群，若│Ａ（Ｇ）│＝２＾７ｐ（ｐ为奇素数），于是１）当ｐ＝３时，Ｇ有４３型；２）当ｐ＝５时，Ｇ有２９型；３）当ｐ＝１７时，Ｇ有１４型；４）当ｐ≠３，５，１７时，Ｇ最多有４５型。     

超特殊p群的全自同构群

一个ｐ群Ｇ称为超特殊ｐ群，若Ｇ’＝Ｚ（Ｇ）＝Φ（Ｇ）为ｐ阶循环群。本文根据超特殊ｐ群的结构，用初等群论的办法确定了其全自同构群的阶数和结构。     

关于两个有限超可解群的积

本文讨论了两个有限超可解群Ａ、Ｂ之积Ｇ的超可解性问题估较弱的条件下得到了若干Ｇ为超可解群的结论，这些结果推广了现有的结果。     

关于Brauer的一个猜想

关于Ｂｒａｕｅｒ的一个猜想肖文俊（数学研究所）设Ｇ为一有限群，ｐ为一固定的素数，Ｒ为一完备的禽散赋值环，Ｋ为Ｒ的商域，Ｒ／（π）为特征ｐ的域，这里（π）＝Ｊ（Ｒ）为Ｒ和Ｊａｃｏｂｓｏｎ根，又设Ｋ和都是Ｇ的每一子群的分裂域，Ｂ为Ｇ的任一ｐ－块，Ｄ为Ｂ的...     

π—局部群系

定义了π－局部群系Ｆπ，统一了幂零群系、ｐ－零群系、π－幂零群系、超可解群系、ｐ－超可解群系，推广了著名的Ｇａｓｃｈｕｔｚ定理和Ｃａｒｔｅｒ定理     

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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