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某些素图连通的对称群的OD-刻画 被引量：4

OD-Characterization of Certain Symmetric Groups Having Connected Prime Graphs
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摘要 利用有限群的阶及其度数型的性质对素图连通的对称群S9和S28进行了刻画,得到如下结论:设G为有限群,如果|G|=|H|且D(G)=D(H),则G是3-重OD-刻画的,其中H=S9或者H=S28. The symmetric groups S9 and S28 are characterized by using their orders and degree patterns,and a theorem was got as follows：Let G be a finite group,if ｜G｜=｜H｜ and D（G）=D（H）,then G is 3-fold OD-characterizable,where H=S9 or H=S28.
作者 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 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第5期1-3,共3页 Journal of Southwest China Normal University(Natural Science Edition)
基金 西南大学博士创新基金资助项目(ky2010007)
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 order component
分类号 O152.1 [理学—基础数学]
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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.

同被引文献32

  • 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.
  • 9Yan 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.
  • 10Zavarnitsine A, Mazurov V D. Element orders in covering of symmetric and alternating groups[J]. Algrbra and Logic, 38(3)(2009): 159-170.

引证文献4

二级引证文献1

西南师范大学学报（自然科学版）
2011年 第5期

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