有限群的Fitting子群对群结构的影响

通过讨论有限群的 Fitting子群的极小子群的 π-拟正规性 ,利用有限群的正规群列及多种有限群论的方法和技巧 ,得到了一个有限的可解群成为超可解的充分条件 .即 :设 G是一个有限可解群 ,H为G的正规子群 .若 Fitting(H)的每一极小子群和 H阶循环子群在 G中 π-拟正规 ,则 G是超可解群 .群 G的子群 H 称为 π-拟正规的 ,如果它与 G的每一 Sylow子群可交换 .此结果是

有限群的π-闭-Sylow塔群群类

称群 G为 π-闭 - Sylow塔群 ,若群 G中存在正规 Hallπ-子群为 Sylow塔群 .研究了 π-闭 -Sylow塔群的性质 ,利用群类论理论证明了 :π-闭 - Sylow塔群的群类为子群闭且商群闭的 ;π-闭 -Sylow塔群的群类为直积闭且次直积闭的 ;π-闭 - Sylow塔群的群类为 N0 -闭的 .并由此推出 ,π-闭 -Sylow塔群类是一个饱和群系且为一个

3-Dimensional Body Measurement Technology

3 - dimensional body measurement technology, the basis of developing high technology in industry, accelerates digital development of aplparel industry. This paper briefly introduces the history of 3 - dimensional body measurement technology, and recounts the principle and primary structure of some types of 3 - dimensional automatic body measurement system. With this understanding, it discusses prospect of 3- dimensional CAD and virtual technology used in apparel industry.

有限群的最大子群的性质对群结构的影响(英文)

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.

Spatial resolved temperature measurement based on absorption spectroscopy using a single tunable diode laser

A novel method based on wavelength-multiplexed line-of-sight absorption and profile fitting for nonuniform flow field measurement is reported. A wavelength scanning combing laser temperature and current modulation WMS scheme is used to implement the wavelength-multi- plexed-profile fitting method. Second harmonic （2f） signal of eight H20 transitions features near 7,170 cm^-1 are measured in one period using a single tunable diode laser. Spatial resolved temperature distribution upon a CH4/air premixed flat flame burner is obtained. The result validates the feasibility of strategy for non-uniform flow field diagnostics by means of WMS-2f TDLAS.

Epigenetic Enabled Normal Human Cells, Lead to <i>First Cell</i>’s Unique Division System, Driving Tumorigenesis Evolution

Normal cells must become cancer-enabling before anything else occurs, according to latest literature. The goal in this mini-review is to demonstrate special tetraploidy in the enabling process. This we have shown from genomic damage, DDR (DNA Damage Response) activity with skip of mitosis leading to diploid G2 cells at the G1 border in need of chromatin repair for continued cell cycling to the special tetraploid division system. In several studies specific methylation transferase genes were activated in normal human cells in tissue fields, containing different cell growth stages of the cancerous process. Histology studies, in addition to molecular chemistry for identification of oncogenic mutational change, were a welcome change (see below). In a study on melanoma origin, DDR also showed arrested diploid cells regaining cycling from methylation transferase activity with causation of 2n melanocytes transforming to 4n melanoblasts, giving rise to epigenetic tumorigenesis enabled First Cells. Such First Cells were from Barrett’s esophagus shown to have inherited the unique division system from 4n diplochromosomal cells, first described in mouse ascites cancer cells (below). We discovered that the large nucleus prior to chromosomal division turned 90° relative to the cytoskeleton axis, and divided genome reductive to diploid, First Cells, in a perpendicular orientation to the surrounding normal cells they had originated from. This unique division system was herein shown to occur at metastasis stage, implying activity throughout the cancerous evolution. Another study showed 4-chromatid tetraploidy in development to B-cell lymphoma, and that such cancer cells also proliferated with participation of this unusual division system. Such participation has long been known from Bloom’s inherited syndrome with repair chiasmas between the four chromatids, also an in vitro observation by us. Our cytogenetic approach also revealed that they believed mitotic division in cancer cells is wrong because such cell divisions were found to be from an adaptation between amitosis and mitosis, called amitotic-mitosis. Amitosis means division without centrosomes, which has long been known from oral cancer cells, in that MOTCs (microtubule organizing center) were lacking centrioles. This observation calls for re-introduction of karyotype and cell division studies in cancer cell proliferation. It has high probability of contributing novel approaches to cancer control from screening of drugs against the amitotic-mitotic division apparatus.

有限核(2)-群

一个群G被称为核(m)-群当且仅当对G的任意子群H,︱H∶H_G︱至多可以表示成m个素数的乘积。证明了如果有限群G是核(m)-群,那么G是可解群,且G的Fitting子群在G中的指数至多是5个素数的乘积。进一步证明了如果有限超可解群G是有限核(2)-群,且群G存在极小正规子群N是阶为p3的初等交换子群,那么则存在素数p,q,使得G有交换正规子群A满足︱G∶A︱|2pq,并且G至多只有4个互不同构的西洛子群不正规。

Bryce和Cossey的一个重要结果的推广

在有限可解群的群系理论中,Bryce和Cossey证明了一个重要定理:一个可解局部群系■是一个Fitting类的充分必要条件是■的典型屏F的函数值都是Fitting类.本文基于σ-群理论,推广了Bryce和Cossey的这一重要成果,并且得到:一个σ-局部群系■是一个Fitting类的充分必要条件是σ-局部群系■的所有经典σ-局部定义函数的函数值都是Fitting类.