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π-块的剩余集(英文) 被引量:1

THE RESIDUE SET OF A π-BLOCK
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摘要 本文讨论了π-块中不可约特征标度数的最大公因子与主不可分解特征标度数的最大公因子之间的关系 ,给出了 π-块形式的 In this paper we discuss the relationship between the greatest common divisor of the degrees of irreducible characters and that of the principal indecomposable characters in a π-block, then give an equivalent statement of Harada Conjecture in the form of the π-block theory.
出处 《数学杂志》 CSCD 北大核心 2002年第1期6-10,共5页 Journal of Mathematics
基金 Jiangsu Educational Committee (0 0 KJB1 1 0 0 0 6)
关键词 有限群 特征标 π-块 剩余集 Harada猜想 finite goup character π-Block
  • 相关文献

参考文献7

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同被引文献8

  • 1海进科,朱一心.关于π′-次数的不可约特征标在π-可分群里的一个注记(英文)[J].数学杂志,2004,24(6):607-609. 被引量:2
  • 2陈生安.π-可分群中关于正规π-子群的π-Brauer特征标[J].数学杂志,2006,26(1):94-98. 被引量:2
  • 3Zvi Arad,M.Herzog,Siavi J.Powers and products of conjugacy classes in groups[M].Lecture Notes in Mathematics.New York:Springer-verlag,1985.
  • 4Zvi Arad,David Chiliag,Moran G.Groups with small covering number[M].New York:Springerverlag,1985.
  • 5Zvi Arad,David Chiliag.Powers of characters of finite groups[J].Algebra,1986,103(1):241-255.
  • 6Feit W.The representation theory of finite groups[M].New York:Amsterdam North-Holland Publishing Company-Amsterdam,1982.
  • 7Serre J P.Linear representations of finite groups[M].New York:Springer-verlag,1971.
  • 8Dulmage A L,Mendelsohn N S.Gaps in the exponent set of primitive matrices[J].Illinois Math.,1964,(8):642-656.

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