关于带作用群的有限群的幂零性

设Ｇ是一个有限群，Ｇ的自同构群Ａ作用于Ｇ，且（｜Ａ｜，｜Ｇ｜）＝１．在未假设Ｃ＿ｃ（Ａ）＝１的情形下，证明了关于群Ｇ幂零性的几个充分条件，其中主要定理为：定理２．４设Ａ≤Ａｕｔ（Ｇ）（｜Ａ｜，｜Ｇ｜）＝１，若Ｇ有Ａ－不变的幂零π－Ｈａｌｌ子群Ｈ，且Ｈ的Ｓｙｌｏｗ２－子群Ｈ＿２为Ａｂｅｌ群，对则Ｇ幂零。     

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。     

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     

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．     

Gassmann等价保持群的Sylow塔性质

设Ｇ１和Ｇ２是有限群且Ｇ１具有Ｓｙｌｏｗ塔性质，若Ｇ２与Ｇ１的每元素阶有相同的元素个数，则Ｇ２具有Ｓｙｌｏｗ塔性质。     

元素的阶除一些素数外连续的有限群

有限群Ｇ称为ＯＣ_ｎｐ－群，如果元素阶的集合πｅ（Ｇ）＝｛１，２，…，ｎ，ｐ１，ｐ２，…，ｐｓ｝．其中ｎ＋１＜ｐ１＜ｐ２＜…＜ｐｓ．ｐｉ是素数（ｉ＝１，２，…，ｓ）．ｎ为自然数．证明了ＯＣｎｐ－群的完全分类定理定理设Ｇ是ＯＣｎｐ－群，ｓ≥１，则１≤ｎ≤５或ｎ＝８，且ｓ≤２．进一步：Ⅰ．如果１≤ｎ≤２，则Ｇ是质元群且可解．Ⅱ．如果：ｎ＝３，４，５，８，则Ｇ是单群且ｎ＝３时，ｎ＝４时，ｎ＝５时，ｎ＝８时，     

Kramer定理的推广

证明了下述定理：定理１（ｋｒａｒｎｅｒ定理的推广）设Ｇ为有限可解群，Ｇ／Ｎ为超可解群．如果对某ｋ及Ｇ的每一极大子群Ｌ均有等于１或素数，则Ｇ为超可解群，其中Ｆ＿ｎ（Ｇ）归纳定义如次：定理２设群Ｇ有限可解，为满整群系｛ｆ（ｐ）｝所局部定义的群系，Ｇ／Ｎ如果存在Φ（Ｎ）到Ｆｉｔ（Ｎ）的Ｇ的主列使     

有限p—幂零群的一个新刻划

推广了Itδ的结果,得到下述主要定理.定理1 设G是有限群,N(?)G,G/N p-幂零.那么(i)p为奇素数时,G p-幂零当且仅当N的p阶元均含于Z_(p∞)(G);(ii)p=2时,G 2-幂零当且仅当N的2.2~2阶元均含于Z_(2∞)(G).定理2 设G是有限群,N(?)G且G/N是幂零群.那么G是幂零群当且仅当N的素数阶元与2~2阶元均.含于Z_∞(G).此外,还证明了定理3 设G是有限群.则Z_(p∞)(G)=NI_(G)=∩{M|M为G的极大p-幂零子群}.     

关于有限群可解性的若干结果

本文引入了一半正则子群的概念，并用其给出了若干有限群为可解群的充分条件，文中推广了Ｔｈｏｍｐｓｏｎ定理。     

有限群的可解性

C-正规子群第一次被提出并被用来讨论了有限群的结构,之后得到人们的广泛关注。我们利用C-正规子群对有限群的可解性进行了讨论,得到了可解群的一些新的充分条件。主要结果有：(1)设G是有限群,H是G的偶阶幂零Hall子群,M是H的极大子群,若M的2-sylow子群在G中C-正规,则G是可解群;(2)设M是G的指数为2的偶阶极大子群,若M是内幂零群,且M的p‘-sylow子群在G中C-正规,则G可解;(3)设H是G的π-Hall子群,且2∈π,若H幂零且H的某个极大子群M在G中C-正规,则G是可解群。     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

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