Large character degrees of solvable -groups

Author:
Yong Yang

Journal:
Proc. Amer. Math. Soc. **139** (2011), 3171-3173

MSC (2010):
Primary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-2011-10735-4

Published electronically:
January 20, 2011

MathSciNet review:
2811271

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that if is a finite solvable group and , then the index of the Fitting subgroup of is at most the square of the largest irreducible character degree of .

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Additional Information

**Yong Yang**

Affiliation:
Department of Mathematics, Texas State University at San Marcos, San Marcos, Texas 78666

Email:
yang@txstate.edu

DOI:
https://doi.org/10.1090/S0002-9939-2011-10735-4

Received by editor(s):
March 17, 2010

Received by editor(s) in revised form:
July 22, 2010, and August 18, 2010

Published electronically:
January 20, 2011

Communicated by:
Jonathan I. Hall

Article copyright:
© Copyright 2011
American Mathematical Society