Derived lengths and character degrees

Author:
Mark L. Lewis

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1915-1921

MSC (1991):
Primary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-98-04391-3

MathSciNet review:
1452810

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a finite solvable group. Assume that the degree graph of has exactly two connected components that do not contain . Suppose that one of these connected components contains the subset , where and are coprime when . Then the derived length of is less than or equal to .

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Additional Information

**Mark L. Lewis**

Affiliation:
Department of Mathematics and Computer Science, Kent State University, Kent, Ohio 44242

Email:
lewis@mcs.kent.edu

DOI:
https://doi.org/10.1090/S0002-9939-98-04391-3

Received by editor(s):
December 16, 1996

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1998
American Mathematical Society