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交错单群和散在单群的一种特征标次数图 被引量:3

A Kind of Character Degrees Garphs of Alternative Simple Groups and Sporadic Simple Groups
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摘要 考虑交错单群和散在单群的一种特征标次数图,证明了:若GAn(n≥7)或G是散在单群,则对任意m∈cd(G),图Δ(G-m)至多有两个连通分支. In this paper the authors get the conclusion: if G≈An,n≥7 or G is a sporadic simple group, then n(△(G- m)) ≤ 2 for all m ∈cd (G).
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第1期1-5,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871032) 教育部博士点基金资助项目(20060285002)
关键词 交错单群 散在单群 不可约特征标次数 alternative simple groups sporadic simple groups irreducible character degrees
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参考文献7

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同被引文献29

  • 1叶凤英,张广祥.群的不可约特征标个数与群的阶[J].西南师范大学学报(自然科学版),2006,31(2):9-12. 被引量:4
  • 2Ogata W, Kurosawa K, Stinison D R, et al. New Combinatorial Designs and Their Applications to Authentication Codes and Secret Sharing Schemes [J]. Discrete Math, 2004, 279: 383 -405.
  • 3Baumert L D, Mills W H, Robert L. Uniform Cyclotomy [J]. Journal of Number Theory, 1980, 14:67 -82.
  • 4Levenshtein V I. One Method of Construction Quasi Codes Providing Synchronization in the Presence of Errors [J]. Prob Infor Transm, 1971, 7: 215-222.
  • 5Levenshtein V I. Combinatorial Problems by Comma-Free Codes [J]. J Combin Des, 2004, 7: 184- 196.
  • 6Mutoh Y, Tonchev V D. Difference Systems of Sets and Cyclotomy [J]. Discrete Math, 2008, 308:2959 -2969.
  • 7Tonchev V D. Difference Systems of Sets and Code Synchronization [J]. Rendiconti del Seminario Comput, 2003, 148(1) : 93 - 108.
  • 8Tonchev V D. Partitions of Difference Sets and Code Synchronization [J]. Finite Fields and Their Applications, 2005, 11: 601-621.
  • 9Ryoh Fuji-Hara, Akihiro Munemasa, Tonchev V D. Hyperplane Partitions and Difference Systems of Sets [J]. Journal of Combinatorial Theory, Series A, 2006, 113:1689- 1698.
  • 10Chang Yanxun, Ding Cunsheng. Constructions of External Difference Families and Disjoint Difference Families [J]. Des Codes Crypt, 2006, 40: 167- 185.

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