On the number of p-blocks with given defect groups and some applications of the p-power homomorphism

  • Shi Shengming
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1185)


Central Character Double Coset Defect Group Primitive Idempotent Central Idempotent 
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    R. Brauer and K.A. Fowler: "On groups of even order", Ann. of Math., 62(1955), 565–583.MathSciNetCrossRefMATHGoogle Scholar
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    Y. Tsushima: "On the weakly regular p-blocks with respect to Op, (G)". Osaka J. Math. 14(1977), 465–470.MathSciNetMATHGoogle Scholar
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    T. Wada: "On the existence of p-blocks with given defect groups", Hokkaido Mathematical Journal, 6(1977), 243–248.MathSciNetCrossRefMATHGoogle Scholar
  4. [4]
    K. Iizuka and A. Watanable: "On the number of blocks of irreducible characters of finite groups with a given defect group", Kumamoto J. Sci. (Math.) 9(1972), 55–61.MathSciNetGoogle Scholar
  5. [5]
    W. Willems: "Über die Existenz von Blocken", J. Algebra 53(1978), 402–409.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Shi Shengming
    • 1
  1. 1.Department of MathematicsPeking UniversityBeijingChina

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