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维数分别为51和52的对称群的OD-刻画 被引量：1

OD-Characterization of Symmetric Groups of Degree 51 and 52
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摘要 利用有限群的阶和它的次数型分别对对称群S51和S_(52)进行了刻画,得到:对称群S_(51)和S_(52)均可3-重OD-刻画. It is proved that the symmetric groups Ssi and S52 are characterized by their orders and degree patterns. In fact, the symmetric groups Ssi and S52 are 3-fold OD- characterizable.
作者 晏燕雄 陈贵云
机构地区 重庆市西南大学数学与统计学院 重庆第二师范学院数学与信息工程系
出处 《数学研究》 CSCD 2012年第2期175-178,共4页 Journal of Mathematical Study
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资助项目(cstc2011jjA00020) 中央高校基本科研业务费资助项目(XDJK2012D004)
关键词 素图 几乎单群 顶点的次数 次数型 prime graph almost simple group degree of a vertex degree pattern
分类号 O152.1 [理学—基础数学]
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参考文献13

  • 1Williams J S. Prime graph components of finite groups[J]. J of Algebra, 69(2)(1981): 487-513.
  • 2Conway J H, Curtis R T, Norton S P, Parker R A, Wilson R A. Atlas of Finite Groups [M]. Clarendon Press (Oxford), London / New York, 1985.
  • 3Moghaddamfar A R, Zokayi A R, Darafsheh M R. A characterization of finite simple groups by the degrees of vertices of their prime graphs[J]. Algebra Colloquium, 12(3) (2005): 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, 4(4)(2009): 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, 5(3)(2010): 541-553.
  • 6Moghaddamfar A R, Zokayi A R. Recognizing finite groups through order and degree pattern[J]. Algebra Colloquium, 15(3)(2008): 449-456.
  • 7Moghaddamfar A R, Zokayi A R. OD-Characterizability of certain finite groups having connected prime graphs[J]. Algebra Colloquium, 17(1)(2010): 121-130.
  • 8Zhang Liang-cai, SHI Wu-J. OD-characterization of simple K4-groups[J]. Algebra Co- lloquium, 16(2)(2009): 275-282.
  • 9晏燕雄.某些素图连通的对称群的OD-刻画[J].西南师范大学学报（自然科学版）,2011,36(5):1-3. 被引量：4
  • 10Yan Yan-xiong. OD-Characterization of almost Simple Groups Related to the Cheval- ley Group F4(2). J of Southwest University, 33(4)(2011): 112-115.

二级参考文献11

  • 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 (Ox- ford), 1985.. 1-252.
  • 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-Characterizatioa 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, in Algebra Colloquium [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. O[YCharacterization of Simple Kg-Groups [J]. Algebra Colloquium, 2009, 16 (2): 275-282.
  • 9ZAVARNITSINE A V. Finite Simple Groups with Narrow Prime Spectrum[J]. Siberian Electronic Mathematical Re- ports, 2009(6): 1-12.
  • 10ZAVARNITSINE A V. Recognition o{ Alternating Groups o{ Degrees r-}-1 and r~-2 for Prime r and the Group of De- gree 16 by Their Element Order Sets [J]. Algebra and Logic, 2000, 39(6): 370-477.

共引文献3

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

数学研究
2012年 第2期

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