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Original Articles

DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. III

Pages 5755-5767 | Received 01 Jun 2000, Published online: 16 Aug 2006

REFERENCES

  • Isaacs , I. M. 1976 . Character Theory of Finite Groups New York : Academic Press .
  • Isaacs , I. M. and Knutson , G. 1998 . Irreducible Character Degrees and Normal Subgroups . J. Algebra , 199 ( 1 ) : 302 – 326 .
  • Isaacs , I. M. and Lewis , M. L. 2001 . Derived Lengths of Solvable Groups Satisfying the One-prime Hypothesis II . To appear in Comm. Algebra. , 29 : 2285 – 2292 .
  • Lewis , M. L. 1995 . Solvable Groups Having Almost Relatively Prime Distinct Irreducible Character Degrees . J. Algebra , 174 ( 1 ) : 197 – 216 .
  • Lewis , M. L. 1998 . Derived Lengths of Solvable Groups Satisfying the One-prime Hypothesis . Comm. Algebra , 26 ( 8 ) : 2419 – 2428 .
  • Lewis , M. L. 1998 . Determining Group Structure from Sets of Character Degrees . J. Algebra , 206 ( 1 ) : 235 – 260 .
  • Lewis , M. L. Derived Lengths of Solvable Groups having Five Irreducible Character Degrees I . To appear in Algebr. Represent. Theory
  • Lewis , M. L. Solvable Groups Whose Degree Graphs have Two Connected Components . Submitted
  • Manz , O. and Wolf , T. R. 1993 . Representations of Solvable Groups Cambridge : Cambridge University Press .
  • Noritzsch , T. 1995 . Groups Having Three Complex Irreducible Character Degrees . J. Algebra , 175 ( 3 ) : 767 – 798 .

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