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Original Articles

Bounding the Derived Length of a Solvable Group: An Improvement on a Result by Gluck

Pages 1856-1859 | Received 18 Jan 2011, Published online: 15 May 2012

REFERENCES

  • Garrison , S. ( 1973 ). On Groups with a Small Number of Character Degrees. Ph.D. thesis, University of Wisconsin, Madison, Wisconsin, USA .
  • Isaacs , I. M. (1976). Character Theory of Finite Groups. , 1st ed. New York : Academic Press.
  • Isaacs , I. M. , Knutson , G. Irreducible character degrees and normal subgroups. arXiv:math/9702233v1.
  • Keller , T. M. ( 2003 ). Orbits in finite group actions . In: Campbell , C. M. , Robertson , E. F. , Smith , G. C. , eds. Groups St. Andrews 2001 in Oxford . Vol. II. Cambridge : Cambridge University Press , pp. 306 – 331 .
  • Lewis , M. L. ( 2001 ). Derived lengths of solvable groups having five irreducible character degrees I . Algebras and Representation Theory 4 : 469 – 489 .
  • Manz , O. , Wolf , T. R. ( 1993 ). Representations of Solvable Groups. , 1st ed. Cambridge : Cambridge University Press .
  • Communicated by P. Tiep.

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