A Note on Representations for Irreducible Characters of Finite Groups

  • Published : 2000.12.01


In this paper we prove that for all irreducible complex characters of a finite group, there exist F-representations and a finite degree field extension F ⊇ Q, where Q is the rational number field.



  1. Theory of groups of finite order(2nd ed.) Burnside, W.
  2. Proc. London Math. Soc. v.2 On groups of order $p^aq^b$, Ⅰ. Ⅱ Burnside, W.
  3. Methods representation theory Ⅰ Curtis C.W.;I. Reiner
  4. Representation theory of finite groups and associative algebras Curtis C.W.;I. Reiner
  5. Group representation theory Dornhoff, L.
  6. Pacific J. Math. v.13 no.3 Solvability of groups of odd order Feit, W.;J.G. Thompson
  7. Character theory of finite groups Isaacs, I.M.
  8. Algebra, a graduate course Isaacs, I.M.
  9. The algebraic structure of group rings Passman, D.S.
  10. Group theory Ⅰ, Ⅱ M. Suzuki