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Original Articles

A note on character degrees of finite solvable groups

Pages 4249-4258 | Received 01 Apr 1999, Published online: 27 Jun 2007

References

  • Feit , W. 1982 . The Representation Theory of Finite Groups , Amsterdam : North-Holland .
  • Gluck , D. and Wolf , T.R. 1984 . Brauer’s height conjecture for p-solvable groups . Trans. Amer. Math. Soc , 282 : 137 – 152 .
  • Huppert , B. 1991 . “ Research in Representation Theory at Mainz ” . In Progress in Math , Vol. 95 , Basel : Birkhäuser Verlag .
  • Isaacs , I.M. 1975 . Character degrees and derived length of a solvable group . Can. J. Math , 27 : 146 – 151 .
  • Isaacs , I.M. 1976 . Character Theory of Finite Groups , New York : Academic Press .
  • Isaacs , I.M. 1989 . Coprime group actions fixing all non-linear irreducible character . Can. J. Math , 41 : 68 – 88 .
  • Isaacs , I.M. 1973 . Equally partitioned groups . Pac. J. Math , V49 : 109 – 116 .
  • Landrock , P. 1983 . Finite Group Algebras and Their Modules , Cambridge University Press .
  • Lewis , M.L. Derived lengths and character degrees . Proceedings of Amer. Math. Soc . Vol. V126 , pp. 1915 – 1921 .
  • Manz , O. , Staszewski , R. and Willems , W. 1988 . On the number of components of a graph related to character degrees . Proc. Amer. Math. Soc , 103 : 31 – 37 .
  • Manz , O. and Wolf , T.R. 1993 . Representations of Solvable Groups , Cambridge University Press .
  • Pense , J. 1996 . The p-length of a solvable group bounded by conditions on its character degree graph . J. of Algebra , 186 : 162 – 181 .
  • Turull , A. 1983 . Supersolvable automorphism groups of solvable groups . Math. Z , 183 : 47 – 73 .
  • Zhang , Jiping . 1995 . Some new results on arithmetical problems of finite groups . London Mathematical Society Lecture Note Series , 112 : 586 – 593 .
  • Zhang Jiping Arithmetical theory of finite groups to appear

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