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具有给定指数的有限群的p-长
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作者 刘玉凤 《淮北煤师院学报(自然科学版)》 2003年第3期1-4,共4页
本文研究准素子群正规化子有素数幂指数的有限群,证明了:如果一个有限群G的所有准素子群的正规化子有素数幂指数,则对于任意素数p,G的p-长小于等于1.
关键词 有限群 准素子群 正规化子 p-长 素数幂指数 SYLOW子群
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有限P-可解群的P-长
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作者 侯逸 易小兰 《浙江理工大学学报(自然科学版)》 2020年第5期701-705,共5页
如果有限群G有次正规列,即1=G0?G1?…?Gt=G,对任意的i∈{1,2,…,t},都有截面Gi/G(i-1)或为交换群或为p′-群,则群G被称为p-可解群。通过对特殊p-群、超特殊p-群的性质分析,讨论了饱和群系中p-长不等于1的p-可解群的一些性质。应用极小... 如果有限群G有次正规列,即1=G0?G1?…?Gt=G,对任意的i∈{1,2,…,t},都有截面Gi/G(i-1)或为交换群或为p′-群,则群G被称为p-可解群。通过对特殊p-群、超特殊p-群的性质分析,讨论了饱和群系中p-长不等于1的p-可解群的一些性质。应用极小阶反证法证明:若■是一个饱和群系,并且群G是一个p-长不等于1的p-可解群,用非空集S(G)表示G所有截面A/B的集合,如果满足截面A/B的p-长不等于1且截面A/B的一个Sylow p-子群同构于极小非■群K的■-上根,若■或■,那么p=3且S(G)中具有极小阶的所有截面同构于[Z3×Z3]SL2(3)。 展开更多
关键词 p-可解群 Sylow p-子群 p-长 超特殊p-
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星体的p-混合弦长积分 被引量:2
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作者 刘春燕 马统一 《应用数学与计算数学学报》 2013年第2期239-245,共7页
引入了星体的p-混合弦长积分的概念,建立了关于星体的p-昆合弦长积分的Minkowski不等式、循环不等式和Brunn-Minkowski不等式.
关键词 星体 p-混合弦积分 MINKOWSKI不等式 BRUNN-MINKOWSKI不等式
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星体的p-弦长积分 被引量:1
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作者 张春杰 《应用数学与计算数学学报》 2009年第2期55-60,共6页
本文引入了星体p-弦长积分的概念,研究了其性质,并且利用积分的方法,建立了有关星体的p-弦长积分的不等式.
关键词 星体 径向函数 p-积分 星对偶
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On the Moments of S_ny/(nφ(n))^(1/p) in p-type Space
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作者 郭秋丽 杨长森 刘洪星 《Chinese Quarterly Journal of Mathematics》 CSCD 1999年第1期47-51, ,共5页
Let B be a p type Banach space (1<p<2),φ(x) be some slow increasing functions on [0,+∞), if {X, X n,n≥1} is a sequence of i.i.d B valued random variables, then we obtain a necessary and sufficient condition f... Let B be a p type Banach space (1<p<2),φ(x) be some slow increasing functions on [0,+∞), if {X, X n,n≥1} is a sequence of i.i.d B valued random variables, then we obtain a necessary and sufficient condition for the moments of Sup n ‖S n(nφ(n)) 1/p ‖ being bounded. 展开更多
关键词 p type space INDEPENDENCE
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关于有限群子群的弱S-可补性 被引量:2
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作者 苏宁 李样明 王燕鸣 《数学年刊(A辑)》 CSCD 北大核心 2015年第1期91-102,共12页
设G是一个有限群,H是G的一个子群.称H为G的一个s-置换子群,若对于G的任意Sylow子群P,成立HP=PH.称H为G的一个弱s-可补的子群.若存在G的一个子群T,使得G=HT且H∩T≤H_s G,其中H_s G是包含在H中的G的最大的s-置换子群.本文在假设G的某些... 设G是一个有限群,H是G的一个子群.称H为G的一个s-置换子群,若对于G的任意Sylow子群P,成立HP=PH.称H为G的一个弱s-可补的子群.若存在G的一个子群T,使得G=HT且H∩T≤H_s G,其中H_s G是包含在H中的G的最大的s-置换子群.本文在假设G的某些子群是弱s-可补的前提下,得到了G的一个结构定理,并推广了许多近期的结果. 展开更多
关键词 弱s-可补子群 p-幂零群 u-超中心 p-可解群的p-长
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模特征标度图(英文)
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作者 鲁自群 刘吉佑 《数学进展》 CSCD 北大核心 2002年第4期313-316,共4页
本文假设G为一有限群且G的模特征标度图有两个连通分支.记πi(i=1,2)为其顶点集.文章通过p-长界定了G的πi-长,并证明了G的π1-或π2-长至多为4.
关键词 模特征标度图 p-长 有限群 连通分支
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有限群不可约特征标的余次数 被引量:1
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作者 卢家宽 王宇 +1 位作者 张博儒 庞琳娜 《广西师范大学学报(自然科学版)》 CAS 北大核心 2022年第5期160-167,共8页
设G是有限群,χ∈Irr(G),称cod(χ)=|G∶kerχ|/χ(1)为不可约特征标χ的余次数。该算术量最近10多年被越来越多的学者关注,从多方面开展研究,取得不少成果。本文从余次数的算术条件对有限群结构的影响、余次数与其他算术量之间的联系... 设G是有限群,χ∈Irr(G),称cod(χ)=|G∶kerχ|/χ(1)为不可约特征标χ的余次数。该算术量最近10多年被越来越多的学者关注,从多方面开展研究,取得不少成果。本文从余次数的算术条件对有限群结构的影响、余次数与其他算术量之间的联系等方面综述该领域的相关研究成果,同时,列举一些尚未解决的问题,供读者参考。 展开更多
关键词 不可约特征标 余次数 可解群 p-长 Huppert猜想
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p-可解群的p-正则类的长和p-秩 被引量:2
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作者 任永才 《科学通报》 EI CAS CSCD 北大核心 1994年第4期301-303,共3页
本文目的是建立有限p-可解群G的p-正则类的长的p-部分和G的p-秩及p-长的关系.文中所说的群均指有限群.p总代表素数.G_p表示群G的Sylow p-子群.r_p(G)和 l_p(G)分别表示p-可解群G的p-秩和p-长.对任一个群G及X∈K≤G,Cl_k(x)表示K的含X的... 本文目的是建立有限p-可解群G的p-正则类的长的p-部分和G的p-秩及p-长的关系.文中所说的群均指有限群.p总代表素数.G_p表示群G的Sylow p-子群.r_p(G)和 l_p(G)分别表示p-可解群G的p-秩和p-长.对任一个群G及X∈K≤G,Cl_k(x)表示K的含X的共轭类.Con(G):={C|C是G的共轭类}.对于C∈Con(G),|C|叫做共轭类C的长.G的p′-元叫p-正则元,p-正则元的共轭类叫做p-正则类.对于整数n,如果n=p^am,p(?)m,那么我们写ω_p(n)=a.对于群G,我们定义rc_p(G)=max{ω_p(|C|)C∈Con(G)且C是p-正则的}. 展开更多
关键词 p-可解群 p-正则类的 p-
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Electroless plating and growth kinetics of Ni-P alloy film on SiC_p/Al composite with high SiC volume fraction 被引量:4
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作者 方萌 胡玲 +3 位作者 杨磊 史常东 吴玉程 汤文明 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第3期799-805,共7页
After Sn/Pd activating, the SiCp/Al composite with 65% SiC (volume fraction) was coated by electroless Ni?P alloy plating. Surface morphology of the composite and its effect on the Ni?P alloy depositing process and bo... After Sn/Pd activating, the SiCp/Al composite with 65% SiC (volume fraction) was coated by electroless Ni?P alloy plating. Surface morphology of the composite and its effect on the Ni?P alloy depositing process and bonding action of Ni and P atoms in the Ni?P alloy were studied. The results show that inhomogeneous distribution of the Sn/Pd activating points results in preferential deposition of the Ni?P alloy particles on the Al alloy and rough SiC particle surfaces and in the etched caves. The Ni?P alloy film has an amorphous structure where chemical bonding between Ni and P atoms exists. After a continuous Ni?P alloy film formed, electroless Ni?P alloy plating is not affected by surface morphology and characteristics of the SiCp/Al composite any longer, but by the electroless plating process itself. The Ni?P alloy film follows linear growth kinetics with an activation energy of 68.44 kJ/mol. 展开更多
关键词 SiC_p/Al composite electroless plating Ni-P alloy film MICROSTRUCTURE growth kinetics
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The Lowest Order Relativistic Corrections for K^-p Two-Body Problem
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作者 WANG Wan-Zhang ZHANG Qi-Ren GAOChun-Yuan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6X期1061-1064,共4页
A two-body equation of the kaon-proton system with the lowest order relativistic corrections is derived and solved. The scattering lengths and the energy of an unstable bound state are calculated.
关键词 K^-p system relativistic corrections
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Use of cationic microbubbles targeted to P-selectin to improve ultrasound-mediated gene transfection of hVEGF_(165) to the ischemic myocardium 被引量:3
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作者 Wei-hui SHENTU Cao-xin YAN +5 位作者 Chun-mei LIU Rui-xiang QI Yao WANG Zhao-xu HUANG Li-ming ZHOU Xiang-dong YOU 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE CAS CSCD 2018年第9期699-707,共9页
Gene therapies have been applied to the treatment of cardiovascular disease, but their use is limited by the need to deliver them to the right target. We have employed targeted contrast ultrasound-mediated gene transf... Gene therapies have been applied to the treatment of cardiovascular disease, but their use is limited by the need to deliver them to the right target. We have employed targeted contrast ultrasound-mediated gene transfection (TCUMGT) via ultrasound-targeted microbubble destruction (UTMD) to transfer therapeutic genes to specific anatomic and pathological targets. Phospholipid microbubbles (MBs) with pcDNA3.l-human vascular endothelial growth factor 165 (pcDNA3.I-hVEGFls5) plasmids targeted to P-selectin (MB+P+VEGFp) were created by conjugating monoclonal antibodies against P-selectin to the lipid shell. These microbubbles were divided into four groups: microbubble only (MB), microbubble+P-selectin (MB+P), microbubble+pcDNA3.l-hVEGF185 plasmid (MB+VEGFp), and microbubbie+ P-selectin+pcDNA3.1-hVEGF185 piasmid (MB+P+VEGFp). The reverse transcription polymerase chain reaction (RT-PCR) and enzyme-linked immunosorbent assay (ELISA) results showed that the VEGF gene was successfully transfected by TCUMGT and the efficiency is increased with P-selectin targeting moiety. UTMD-mediated delivery of VEGF increased myocardial vascular density and improved cardiac function, and MB+P+VEGFp delivery showed greater improvement than MB+VEGFp. This study drew support from TCUGMT technology and took advantage of targeted ultrasound contrast agent to identify ischemic myocardium, release pcDNA3.1-hVEGF165 recombinant plasmid, and improve the myocardial microenvironment, so promoting the restoration of myocardial function. 展开更多
关键词 Vascular endothelial growth factor (VEGF) p-SELECTIN Targeted contrast ultrasound-mediated gene transfection Heart function
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P-T-t path of metamorphism for the Julin Group and its geodynamical implications in Yuanmou,Yunnan 被引量:2
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作者 邓尚贤 王江海 朱炳泉 《Science China Earth Sciences》 SCIE EI CAS 2001年第7期609-620,共13页
The metamorphic complex of the Julin Group occurs in the Yuanmou area of Yunnan Province on the western margin of the Yangtze Platform, and connects with the Kangdian metamorphic complex to the north. Based on the det... The metamorphic complex of the Julin Group occurs in the Yuanmou area of Yunnan Province on the western margin of the Yangtze Platform, and connects with the Kangdian metamorphic complex to the north. Based on the detailed petrographic observations and studies of garnet growth zoning, a P-T-t path has been reconstructed for the staurolite-kyanite zone in the Julin Group. This path is characterized by (1) a counter-clockwise evolutional trend, (2) a quicker increase of temperature than that of pressure in the initial prograde metamorphism, but slower near the peak, then temperature and pressure simultaneously reaching the peak metamorphic conditions, and (3) a slow near-isobaric cooling during the retrograde process. The P-T-t path for prograde metamorphism is closely related to magmatic accretion in the arc setting. The magmatic accretion model, metamorphism type and tectonic setting may be compared with the global Grenville tectono-metamorphic events, and related to the assembly of the Rodinia at the late Meso-proterozoic-early Neoproterozoic (~1.0 Ga). The retrograde P-T-t path shows a slow near-isobaric cooling, indicating sustained heat supplies from the upper mantle and no rapid erosion. This heat source may be originated from the Neoproterozoic (~0.82 Ga) breakup of the Rodinia. 展开更多
关键词 p-T-t path garnet growth zoning the Julin Group RODINIA Yunnan Province
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Regulatory effects of insulin-like growth factor-1 on the expression of sensory neuropeptide mRNAs in cultured dorsal root ganglion neurons with excitotoxicity induced by glutamate 被引量:4
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作者 宫荟萃 杨向东 +3 位作者 刘真 邢子英 王怀经 李振中 《Neuroscience Bulletin》 SCIE CAS CSCD 2010年第2期126-132,共7页
Objective To determine the effects of insulin-like growth factor-1 (IGF-1) on the expression of preprotachykinin (PPT) mRNA encoding substance P (SP) and calcitonin gene-related peptide (CGRP) mRNA in cultured... Objective To determine the effects of insulin-like growth factor-1 (IGF-1) on the expression of preprotachykinin (PPT) mRNA encoding substance P (SP) and calcitonin gene-related peptide (CGRP) mRNA in cultured dorsal root ganglion (DRG) neurons with excitotoxicity induced by glutamate (Glu). Methods DRGs were dissected from embryonic day 15 Wistar rats. DRG neurons were dissociated and cultured for 48 h and then exposed to Glu (0.2 mmol/L) or Glu (0.2 mmol/L) plus IGF- 1 (5 nmol/L, 10 nmol/L and 20 nmol/L) for 12 h. The DRG neurons in control group were exposed to only growth media throughout the experiment. After that, the living DRG neurons were observed under inverted phase contrast microscope and microphotographs were taken. The expression levels of PPT and CGRP mRNAs were detected by reverse transcriptionpolymerase chain reaction (RT-PCR). Results IGF-1 could inhibit Glu-induced shortening of neurite. Besides, IGF-1 could significantly increase the levels ofPPT mRNA and CGRP mRNA in primary cultured DRG neurons with Glu-induced excitotoxicity, in a dose-dependent manner. Conclusion IGF-1 may exert neuroprotective effects on DRG neurons against Glu-induced excitotoxicity, probably through regulating the expression levels of PPT and CGRP mRNAs. 展开更多
关键词 insulin-like growth factor-1 GLUTAMATE substance P calcitonin gene-related peptide dorsal root ganglion
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Effect of substance P on gene expression of transforming growth factor β-1 and its receptors in rat's fibroblasts 被引量:5
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作者 赖西南 王正国 +1 位作者 朱金明 王丽丽 《Chinese Journal of Traumatology》 CAS 2003年第6期350-354,共5页
Objective: To investigate the effect of substance P (SP) on gene expression of transforming growth factor β-1 (TGFβ-1), transforming growth factor receptor-1 (TGFR-1) and transforming growth factor receptor-2 (TGFR-... Objective: To investigate the effect of substance P (SP) on gene expression of transforming growth factor β-1 (TGFβ-1), transforming growth factor receptor-1 (TGFR-1) and transforming growth factor receptor-2 (TGFR-2) in fibroblasts cultured in vitro from rat’s granulation tissues. Methods: The fibroblasts from the granulation tissues in the skeletal muscle of rat’s hind limbs injured by formaldehyde were cultured in vitro. When different concentrations (10 -9-10 -5 mol/L) of SP were added into the culture medium, the changes of gene expression of TGFβ-1, TGFR-1 and TGFR-2 in the cultured fibroblasts were observed with reverse transcription polymerase chain reaction at different intervals (0, 3, 6, 12 and 24 hours after incubation). Results: The gene expression of TGFβ-1, TGFR-1 and TGFR-2 in the fibroblasts cultured from rat’s granulation tissues was up-regulated by SP. The peak level of the mRNA expression was found at 10 -8 mol/L SP and the up-regulation effect was not found at 10 -5 mol/L and 10 -6 mol/L. The peak levels of gene expression of TGFβ-1, TGFR-1 and TGFR-2 in the fibroblasts treated with SP were achieved at 6 and 12 hours, respectively. Conclusions: SP has up-regulation effect on the gene expression of TGFβ-1, TGFR-1 and TGFR-2 in fibroblasts from rat’s granulation tissues in vitro, and the effect is related to different stimulating concentrations of SP. It may be concerned with proliferation and differentiation of fibroblasts and formation of scar tissues during wound healing. 展开更多
关键词 Substance P Transforming growth factor beta Receptors transforming growth factor beta FIBROBLASTS SCARS
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Wavelength-tunable infrared light emitting diode based on ordered ZnO nanowire/Si1-xGex alloy heterojunction 被引量:2
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作者 Taiping Zhang Renrong Liang +3 位作者 Lin Dong Jing Wang Jun Xu Caofeng Pan 《Nano Research》 SCIE EI CAS CSCD 2015年第8期2676-2685,共10页
A novel infrared light emitting diode (LED) based on an ordered p-n heterojunction built of a p-Si1-xGe/alloy and n-ZnO nanowires has been developed. The electroluminescence (EL) emission of this LED is in the inf... A novel infrared light emitting diode (LED) based on an ordered p-n heterojunction built of a p-Si1-xGe/alloy and n-ZnO nanowires has been developed. The electroluminescence (EL) emission of this LED is in the infrared range, which is dominated by the band gap of Si1-xGex alloy. The EL wavelength variation of the LED shows a red shift, which increases with increasing mole fraction of Ge. With Ge mole fractions of 0.18, 0.23 and 0.29, the average EL wavelengths are around 1,144, 1,162 and 1,185 nm, respectively. The observed magnitudes of the red shifts are consistent with theoretical calculations. Therefore, by modulating the mole fraction of Ge in the Si1-xGex alloy, we can adjust the band gap of the SiGe film and tune the emission wavelength of the fabricated LED. Such an IR LED device may have great potential applications in optical communication, environmental monitoring and biological and medical analyses. 展开更多
关键词 ZnO nanowire SiGe alloy infrared light emittingdiode wavelength-tunable
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