Sylow Subgroups and Fusion of Characters

  • Gabriel Navarro
  • Lucía SanusEmail author


Suppose that P is a Sylow p-subgroup of G. We study irreducible characters of P that are constant on G-fused classes.


Sylow subgroups fusion characters conjugacy classes 

Mathematics Subject Classification

Primary 20C15 



  1. 1.
    Isaacs, I.M.: Orbit sizes, local subgroups and chains of \(p\)-groups. J. Aust. Math. Soc. 71, 325–337 (2001)MathSciNetCrossRefGoogle Scholar
  2. 2.
    The GAP Group: GAP-groups, algorithms, and programming, version 4.8.6 (2016).
  3. 3.
    Gajendragadkar, D.: A characteristic class of characters of finite \(\pi \)-separable groups. J. Algebra 59, 237–259 (1979)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Wolf, T.R.: Variations on McKay character degree conjecture. J. Algebra 135, 123–138 (1990)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Isaacs, I.M.: Induction and restriction of \(\pi \)-special characters. Can. J. Math. 38, 576–604 (1986)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Navarro, G.: Actions and invariant character degrees. J. Algebra 160, 172–178 (1993)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Isaacs, I.M.: Character Theory of Finite Groups. AMS-Chelsea, Providence (2006)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Departament of MathematicsUniversitat de ValènciaBurjassot, ValènciaSpain

Personalised recommendations