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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—数学]
  • 相关文献

参考文献15

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  • 2CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups [M]. London: Clarendon Press (Oxford), 1985. 被引量：1
  • 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. 被引量：1
  • 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. 被引量：1
  • 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. 被引量：1
  • 6MOGHADDAMFAR A R, ZOKAYI A R. Recognizing Finite Groups Through Order and Degree Pattern [J]. Algebra Colloquium, 2008, 15(3): 449-456. 被引量：1
  • 7MOGHADDAMFAR A R, ZOKAYI A R. OD-Characterizability of Certain Finite Groups Having Connected Prime Graphs [J]. Algebra Colloquium, 2010, 17(1): 121-130. 被引量：1
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二级参考文献21

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共引文献45

同被引文献15

  • 1WILLIAMS J S. Prime Graph Components of Finite Groups [J]. Journal of Algebra, 1981, 69(2) : 487-513. 被引量：1
  • 2CONWAY J H, CURTIS R T, NORTON S P, et al. Atlas of Finite Groups [M]. London: Clarendon Press, 1985. 被引量：1
  • 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. 被引量：1
  • 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. 被引量：1
  • 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. 被引量：1
  • 6MOGHADDAMFAR A R, ZOKAYI A R. Recognizing Finite Groups Through Order and Degree Pattern [J]. Algebra Colloquium, 2008, 15(3): 449-456. 被引量：1
  • 7MOGHADDAMFAR A R, ZOKAYI A R. OD-Characterizability of Certain Finite Groups Having Connected Prime Graphs [J]. Algebra Colloquium, 2010, 17(1): 121-130. 被引量：1
  • 8ZHANG Liang-cai, SHI Wu-jie. OD-Characterization of Simple K4-Groups [J]. Algebra Colloquium, 2009, 16 (2): 275-282. 被引量：1
  • 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. 被引量：1
  • 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. 被引量：1

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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