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计算对称群S_n的所有Sylow-p子群 被引量:13
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作者 黄本文 廖向军 吕云翔 《武汉大学学报(理学版)》 CAS CSCD 北大核心 2004年第3期303-305,共3页
综合运用数论、群论等知识,通过设计有效的计算方法,给出了计算Sn的全部Sylow p子群及其生成元的算法,同时以S8为例,给出了较详细的算法过程及计算结果.
关键词 对称群 sylow-p子群 算法
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计算对称群S_9的所有Sylow-p子群 被引量:2
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作者 王秀花 刘丁酉 《湖北民族学院学报(自然科学版)》 CAS 2006年第3期211-213,共3页
利用Sylow-p子群的特性,通过设计有效的算法,给出了计算对称群S9的全部Sylow-p子群及其生成元的随机性算法,同时给出了计算的流程图及计算结果.
关键词 对称群 sylow-p子群 计算机 程序 算法
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一种生成对称群S_9所有Sylow-p子群的算法
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作者 詹环 黄本文 胡文超 《武汉大学学报(理学版)》 CAS CSCD 北大核心 2006年第3期305-307,共3页
根据对称群的基本性质以及第二同构定理,给出了通过添加生成元到p群来构造对称群的一个Sylow-p子群的定理,添加的生成元保证能够快速得到对称群的一个Sylow-p子群.根据第二西洛定理求出了所有共轭子群,即所有Sylow-p子群.针对求所有共... 根据对称群的基本性质以及第二同构定理,给出了通过添加生成元到p群来构造对称群的一个Sylow-p子群的定理,添加的生成元保证能够快速得到对称群的一个Sylow-p子群.根据第二西洛定理求出了所有共轭子群,即所有Sylow-p子群.针对求所有共轭子群过程中面临共轭子群出现重复的问题,利用正规化子的性质,找到使得两个Sylow-p子群共轭的元,保证每次求的Sylow-p子群不重复.将此算法应用于S9,实验表明该算法可操作性强,耗费时间少. 展开更多
关键词 sylow-p子群 对称群 算法 生成元
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The Structure of Step Fuzzy Subgroups
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作者 李建新 胡刚 《广东工业大学学报》 CAS 1997年第2期5-12,共8页
定义了模糊阶梯型子群,并研究了阶梯型模糊子群与经典群之间的关系.
关键词 群论 模糊子群 T模 阶梯模糊子群
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On the Equal-height Elements of the Fuzzy Subgroups
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作者 张诚一 胡丽萍 党平安 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第2期82-85,共4页
The properties of the equal height elements of the fuzzy subroups and the classification of groups by its fuzzy subgroups are discussed.
关键词 GROUP fuzzy subgroup EQUIVALENCE equal height element
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“Finite Groups with Quasinormal Subgroups of Prince Power Order”一文的一点注记
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作者 朱静萍 《南昌大学学报(理科版)》 CAS 北大核心 2004年第4期336-337,355,共3页
用F (G)代替F(G),将文"FiniteGroupswithQuasinormalSubgroupsofPrimePowerOrder,ActaMathHun gar89(4),2000,321-326"一文中的主要定理的可解性的假设去除,从而推广了该文的结论。
关键词 有限群 Fitting-子群F(G) 广义Fitting-子群F(G) 拟正规子群
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ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS 被引量:5
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作者 郭文彬 唐娜 李保军 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期22-28,共7页
A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F(G), where Z∞F(G) is the F-hypercenter of G. We obtain some results about the F-z-suppl... A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F(G), where Z∞F(G) is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups. 展开更多
关键词 Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups
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Isolation and Identification of a Subgroup A Avian Leukosis Virus from Imported Meat-type Grand-parent Chickens 被引量:28
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作者 Qing-chan ZHANG Dong-min ZHAO Hui-jun GUO Zhi-zhong CUI 《Virologica Sinica》 SCIE CAS CSCD 2010年第2期130-136,共7页
An exogenous avian leukosis virus (ALV) strain SDAU09C1 was isolated in DF-1 cells from one of 240 imported 1-day-old white meat-type grand parent breeder chicks. Inoculation of SDAU09C1 in ALV-free chickens induced a... An exogenous avian leukosis virus (ALV) strain SDAU09C1 was isolated in DF-1 cells from one of 240 imported 1-day-old white meat-type grand parent breeder chicks. Inoculation of SDAU09C1 in ALV-free chickens induced antibody reactions specific to subgroup A or B. But gp85 amino acid sequence comparisons indicated that SDAU09C1 fell into subgroup A; it had homology of 88.8%-90.3% to 6 reference strains of subgroup A, much higher compared to other subgroups including subgroup B. This is the first report for ALV of subgroup A isolated from imported breeders. 展开更多
关键词 Avian leukosis virus(ALV) subgroup A Envelope gp85 Imported Chicken Breeders
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Establishment of an avian leukosis virus subgroup A-resistant cell line 被引量:4
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作者 FENG Min DAI Man-man +1 位作者 LIAO Ming CAO Wei-sheng 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2017年第4期930-936,共7页
Rapid diagnostic methods for classifying avian leukosis subgroups in the field were needed for routine, large-scale screening. As a first step in method development, we inserted the avian leukosis virus subgroup A (A... Rapid diagnostic methods for classifying avian leukosis subgroups in the field were needed for routine, large-scale screening. As a first step in method development, we inserted the avian leukosis virus subgroup A (ALV-A) env gene into plasmid pcDNA3.1/Zeo (+) and used this construct to transfect DF-1 cells. Zeocin-resistant cells were obtained after 2 weeks of zeocin selection. Then, the cells were analyzed using PCR, immunofluorescence, and Western blot for expression of the envA-encoded envelope protein after 30 serial passages. The DF-1/A cell line was completely resistant to 104 TCIDso/0.1 mL (50% tissue culture infective dose)ALV-A and was partially resistant to 10~ TCIDs0/0.1 mL ALV-A viral particles. By comparing the DF-1/A and DF-1 cell lines, an ALV-A isolate was identified using a gag-specific ELISAfor capsid protein p27. Thus, we established a DF-1/A cell line that was resistant to ALV-A infection. This cell line will be useful as a diagnostic tool. 展开更多
关键词 avian leukosis virus subgroup A (ALV-A) ENV DF-1/A cell line diagnostic tool
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FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H-SUBGROUPS 被引量:2
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作者 M.M.Al-Mosa Al-Shomrani M.Ramadan A.A.Heliel 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2295-2301,共7页
Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = ... Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature. 展开更多
关键词 c-normal subgroup H-subgroup p-nilpotent group supersolvable group generalized Fitting subgroupi saturated formation
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SOME SUBGROUPS OF THE EXTENDED HECKE GROUPS H^-(λq) 被引量:1
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作者 ReeepSahin OsmanBizim 《Acta Mathematica Scientia》 SCIE CSCD 2003年第4期497-502,共6页
The authors consider the extended Hecke groups H(γq) generated by T(z) = -1 / z, S(z) = -1(z +γq) and R(z) = 1 / z with A, = 2 cos(π/q) for q≥3 an integer. In this paper, the even subgroup He(γq), the second comm... The authors consider the extended Hecke groups H(γq) generated by T(z) = -1 / z, S(z) = -1(z +γq) and R(z) = 1 / z with A, = 2 cos(π/q) for q≥3 an integer. In this paper, the even subgroup He(γq), the second commutator subgroup H''(γq) and the principal congruence subgroups Hp(λq) of the extended Hecke groups .H(γq) are studied. Also, relations between them are given. 展开更多
关键词 Extended Hecke group even subgroup commutator subgroup principal congruence subgroup
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Some Generalized Normal Subgroups and p-nilpotency of Finite Groups 被引量:1
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作者 ZHONG Guo LIN Shi-Xun +1 位作者 CHEN Qi-le QIN Li-hua 《Chinese Quarterly Journal of Mathematics》 2018年第1期17-24,共8页
In this paper, the influence of s-semipermutable, c~#-normal, subnormally embedded and ss-quasinormal subgroups on the p-nilpotency of finite groups is investigated and some recent results are generalized.
关键词 s-semipermutable subgroups c#-normal subgroups subnormally embedded subgroups ss-quasinormal subgroups p-nilpotency
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Fully Secure Identity-based Broadcast Encryption in the Subgroups 被引量:1
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作者 张乐友 胡予濮 吴青 《China Communications》 SCIE CSCD 2011年第2期152-158,共7页
In this paper,we show how to use the dual techniques in the subgroups to give a secure identity-based broadcast encryption(IBBE) scheme with constant-size ciphertexts. Our scheme achieves the full security(adaptive se... In this paper,we show how to use the dual techniques in the subgroups to give a secure identity-based broadcast encryption(IBBE) scheme with constant-size ciphertexts. Our scheme achieves the full security(adaptive security) under three static(i.e. non q-based) assumptions. It is worth noting that only recently Waters gives a short ciphertext broadcast encryption system that is even adaptively secure under the simple assumptions. One feature of our methodology is that it is relatively simple to leverage our techniques to get adaptive security. 展开更多
关键词 identity-based broadcast encryption dual system encryption full security static assumption subgroup provable security
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On s*-Completions of Maximal Subgroups of Finite Groups 被引量:1
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作者 高辉 高胜哲 尹丽 《Chinese Quarterly Journal of Mathematics》 2015年第3期381-388,共8页
Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subg... Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subgroup. In this paper, we obtain several results on s*-completions which imply G to be solvable or supersolvable. 展开更多
关键词 MAXIMAL subgroupS θ*-completions s*-completions SOLVABLE GROUPS super-solvable GROUPS
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Strongly Modular Subgroup in Finite Group 被引量:1
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作者 禹建丽 焦东武 《Chinese Quarterly Journal of Mathematics》 CSCD 1994年第1期104-105,共2页
In this peper,strongly Modular subgroups was defined and studied.
关键词 GROUP modular lattice mpdular subgroup
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An Investigation on the Parabolic Subgroups of the General Linear Groups by Using GAP 被引量:1
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作者 Saad A Bedaiwi LI Shang-zhi 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期221-231,共11页
A typical example for the algebraic groups is the general linear groups G=GL(n,F), we have studied the structure of such groups and paid special attention to its important substructures, namely the Parabolic subgroups... A typical example for the algebraic groups is the general linear groups G=GL(n,F), we have studied the structure of such groups and paid special attention to its important substructures, namely the Parabolic subgroups. For a given G we computed all the Parabolic subgroups and determined their number, depending on the fact that any finite group has a composition series and the composition factors of a composition series are simple groups which are completely classified, we report here some investigations on the computed Parabolic subgroups. This has been done with the utility of GAP. 展开更多
关键词 general linear group parabolic subgroup GAP
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Spatial Distribution Pattern and Han Subgroup Characteristics of Traditional Villages in Guangdong 被引量:2
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作者 YUAN Shaoxiong YIN Xiaoling +2 位作者 XIONG Haixian SUN Zhongyu HUANG Guangqing 《Journal of Landscape Research》 2018年第1期25-32,共8页
A total of 126 traditional villages in Guangdong were selected for research to analyze their spatial distribution pattern, spatial autocorrelation, and Han subgroup characteristics through the spatial analysis with GI... A total of 126 traditional villages in Guangdong were selected for research to analyze their spatial distribution pattern, spatial autocorrelation, and Han subgroup characteristics through the spatial analysis with GIS. The results showed that the traditional villages in Guangdong were distributed compactly, which was similar to that in other provinces; on the prefecture-level city scale, they were mainly distributed in Meizhou, Qingyuan, Zhanjiang, and Zhaoqing, showing a central distribution; on the regional scale, they were mainly distributed in northern Guangdong and the Pearl River Delta, indicating an unbalanced distribution; their density of spatial distribution showed a significant difference with a provincial distribution density of 0.59 per thousand km^2 and the highest distribution density of 2.14 per thousand km^2; there were four gathering areas accommodating many traditional villages, namely Meizhou-Chaoshan area, Guangfo-Dongguan area, Leizhou in Zhanjiang, and Lianzhou in Qingyuan; the spatial distribution of traditional villages, which presented a pattern of hot spot—sub-hot spot—sub-cold spot—cold spot, had a significant global spatial autocorrelation, and areas in similar sizes were tending towards gathering; traditional villages in Guangdong belonged to the Cantonese-speaking group and Hakka-speaking group with a density of 0.59 per thousand km^2 and 0.48 per thousand km^2 respectively, and Han subgroup with the highest distribution density was the minority areas of 1.31 per thousand km^2, followed by Shaozhou dialect area with a density of 1.00 per thousand km^2. 展开更多
关键词 Traditional villages Spatial distribution pattern Spatial autocorrelation Han subgroup distribution GUANGDONG
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关于《Fuzzy Subgroups,Fuzzy Ideals,and Fuzzy Cosets:Some properties》一文的注记
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作者 谢祥云 《五邑大学学报(自然科学版)》 CAS 1999年第2期35-36,共2页
提出了一个反例说明《Fuzzysubgroups,fuzzyideals,andfuzzycosets:Someproperties》一文中一定理证明的错误并给出了一个正确的证明。
关键词 模糊子群 模糊理想 表示定理 四元素群
全文增补中
Two Theorems about Nilpotent Subgroup
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作者 Lijiang Zeng 《Applied Mathematics》 2011年第5期562-564,共3页
In the paper, we introduce some concepts and notations of Hall π-subgroup etc, and prove some properties about finite p-group, nilpotent group and Sylow p-subgroup. Finally, we have proved two interesting theorems ab... In the paper, we introduce some concepts and notations of Hall π-subgroup etc, and prove some properties about finite p-group, nilpotent group and Sylow p-subgroup. Finally, we have proved two interesting theorems about nilpotent subgroup. 展开更多
关键词 HALL π-subgroup SYLOW p-subgroup NORMALIZER NILPOTENT Group
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On θ*-completions of F-abnormal Subgroups
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作者 高辉 高胜哲 尹丽 《Chinese Quarterly Journal of Mathematics》 2016年第4期406-411,共6页
Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we inve... Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we investigate the structure of a finite group by θ*-completions of F-abnormal subgroups. 展开更多
关键词 θ*-completions maximal subgroups 2-maximal subgroups F-abnormal subgroups
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