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维数分别为45和46的对称群的新刻画 被引量：1

A New Characterization of Symmetric Groups of Degree 45 and 46
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摘要 利用有限群的阶和它的度数型分别对对称群S45和S46进行了刻画,得到了:对称群S45和S46均可3-重OD-刻画. It is proved that the symmetric groups S45 and S46 are characterized by their orders and degree patterns. In fact, the symmetric groups S45 and S46 are 3-fold OD-characterizable.
作者 徐海静 晏燕雄
机构地区 西南大学数学与统计学院 重庆教育学院经济贸易系
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第5期38-41,共4页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11171364) 重庆市科委自然科学基金计划资助项目(cstc2011jjA00020) 中央高校基本科研业务费专项资金资助项目(XDJK2009C074 XDJK2012D004) 西南大学研究生科技创新基金资助项目(ky2009013)
关键词 素图 几乎单群 顶点的度数 度数型 prime graph almost simple group degree of a vertex degree pattern
分类号 O152.1 [理学—基础数学]
  • 相关文献

参考文献15

  • 1WILLIAMS J S. Prime Graph Components of Finite Groups [J]. Journal of Algebra, 1981, 69(2): 487-513.
  • 2CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups [M]. London: Clarendon Press (Oxford), 1985.
  • 3MOGHADDAMFAR A R, ZOKAYI A R, DARAFSHEH M R. A Characterization of Finite Simple Groups by the De- grees of Vertices of Their Prime Graphs [J]. Algebra Colloquium, 2005, 12(3) : 431-442.
  • 4MOGHADDAMFAR A R, ZOKAYI A R. OD-Charaeterization of Alternating and Symmetric Groups of Degrees 16 and 22 [J]. Frontiers of Mathematics in China, 2009, 4(4) : 669-680.
  • 5HOSEINI A A, MOGHADDAMFAR A R. Recognizing Alternating Groups Ap+3 for Certain Primes p by Their Orders and Degree Patterns [J]. Frontiers of Mathematics in China, 2010, 5(3) : 541-553.
  • 6MOGHADDAMFAR A R, ZOKAYI A R. Recognizing Finite Groups Through Order and Degree Pattern [J]. Algebra Colloquium, 2008, 15(3): 449-456.
  • 7MOGHADDAMFAR A R, ZOKAYI A R. OD-Characterizability of Certain Finite Groups Having Connected Prime Graphs [J]. Algebra Colloquium, 2010, 17(1): 121-130.
  • 8ZHANG Liang-cai, SHI Wu-jie. OD-Characterization of Simple K4-Groups [J]. Algebra Colloquium, 2009, 16 (2):275-282.
  • 9ZAVARNITSINE A, MAZUROV V D, Element Orders in Covering of Symmetric and Alternating Groups [J]. Algrbra and Logic, 1999, 38(3):159-170.
  • 10ZAVARNITSINE A V. Finite Simple Groups with Narrow Prime Spectrum [J]. Siberian Electronic Mathematical Re- ports, 2009(6): 1-12.

二级参考文献21

  • 1钱国华,施武杰.A_5的一个特征及其初等证明[J].西南大学学报（自然科学版）,2007,29(2):1-4. 被引量：7
  • 2Mazurov V D. Characterizations of Groups by Arithmetic Properties [J]. Algebra Colloquium, 2004, 11 (1) : 129 -- 140.
  • 3Kondratiev A S, Mazurov V D. Recognition of Alternating Groups of Prime Degree from Their Element Orders [J].Siberian Math J, 2000, 41(2): 294-302.
  • 4Zavarnitsin A V. Recognition of Alternating Groups of Degrees r+1 and r+ 2 for Prime r and the Group of Degree 16 by Their Element Order Sets [J]. Algebra and Logic, 2000, 39(6) : 370 -- 377.
  • 5Mazurov V D. Recognition of Finite Groups by a Set of Orders of Their Elements [J]. Algebra and Logic, 1998, 37(6) : 371 -- 379.
  • 6Vasiliev A V. On Connection Between the Structure of a Finite Group and the Properties of its Prime Graph [J].Siberian Math J, 2005, 46(3):396-404.
  • 7Zsigmondy K. Zur Theorie der Potenzreste[J].Monatsh Math Phys, 1982, 3 : 265 -- 284.
  • 8Mazurov V D. Characterizations of Finite Groups by Sets of Their Elements Orders[J].Algebra and Logic, 1997, 36(1) : 23 -- 32.
  • 9Guralnick R M, Tiep P H. Finite Simple Unisingular Groups of Lie Type [J]. J Group Theory, 2003, 6:271 -310.
  • 10Conway J H, Curtis R T, Norton S P, et al. Atlas of Finite Groups [M]. Oxford: Clarendon Press, 1985.

共引文献44

同被引文献15

  • 1WILLIAMS J S. Prime Graph Components of Finite Groups [J]. Journal of Algebra, 1981, 69(2) : 487-513.
  • 2CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups [M]. London: Clarendon Press, 1985.
  • 3MOGHADDAMFAR A R, ZOKAYI A R, DARAFSHEH M R. A Characterization of Finite Simple Groups by the De- grees of Vertices of Their Prime Graphs [J]. Algebra Colloquium, 2005, 12(3): 431-442.
  • 4MOGHADDAMFAR A R, ZOKAYI A R. OD-Characterization of Alternating and Symmetric Groups of Degrees 16 and 22 [J]. Frontiers of Mathematics in China, 2009, 4(4) : 669-680.
  • 5HOSEINI A A, MOGHADDAMFAR A R. Recognizing Alternating Groups Ap+3 for Certain Primesp by Their Orders and Degree Patterns [J]. Frontiers of Mathematics in China, 2010, 5 (3) : 541 - 553.
  • 6MOGHADDAMFAR A R, ZOKAYI A R. Recognizing Finite Groups Through Order and Degree Pattern [J]. Algebra Colloquium, 2008, 15(3): 449-456.
  • 7MOGHADDAMFAR A R, ZOKAYI A R. OD-Characterizability of Certain Finite Groups Having Connected Prime Graphs [J]. Algebra Colloquium, 2010, 17(1): 121-130.
  • 8ZHANG Liang-cai, SHI Wu-jie. OD-Characterization of Simple K4-Groups [J]. Algebra Colloquium, 2009, 16 (2): 275-282.
  • 9YAN Yan-xiong, CHEN Oui-yun, GAO Yan-wei. OD-Characterization of the Automorphism Groups of Simple Ka-Groups [J]. Journal of Inequalities and Applications, 2013, 95: 1-12.
  • 10YAN Yan-xiong, CHEN Gui-yun, WANG Li-li. OD-Characterization of the Automorphism Groups of Oh (2) [J]. Indi- an J pure Appl Math, 2012, 43(3): 183-195.

引证文献1

西南大学学报（自然科学版）
2012年 第5期

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