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Bounding the Fitting height of a solvable group by the number of zeros in a character table
Author(s):
Guohua
Qian
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3171-3176.
MSC (2000):
Primary 20C15
Posted:
April 17, 2002
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Abstract:
In this paper, we bound the Fitting height of a solvable group by the number of zeros in a character table.
References:
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- 1.
- D. Chillag, On zeros of characters of finite groups, Proc. Amer. Math. Soc., 127(1999),977-983. MR 99f:20012
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- I. M. Isaacs, ``Character theory of finite groups'', Academic Press, New York, 1976. MR 57:417; corrected reprint CMP 94:14
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- I.M. Isaacs, G. Navarro and T.R. Wolf, Finite group elements where no irreducible character vanishes, J.Algebra, 222(1999),413-423. MR 2000k:20008
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- O. Manz and T. R. Wolf, ``Representations of solvable groups'', Cambridge University press, Cambridge, 1993. MR 95c:20013
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Additional Information:
Guohua
Qian
Affiliation:
Department of Mathematics, Wuhan University, Wuhan 430072, People's Republic of China -- and -- Department of Mathematics, Changshu College, Jiangsu, 215500, People's Republic of China
Email:
ghqian2000@263.net
DOI:
10.1090/S0002-9939-02-06452-3
PII:
S 0002-9939(02)06452-3
Keywords:
Solvable group,
Frobenius group,
irreducible character,
conjugacy class
Received by editor(s):
May 7, 2001
Received by editor(s) in revised form:
June 11, 2001
Posted:
April 17, 2002
Communicated by:
Stephen D. Smith
Copyright of article:
Copyright
2002,
American Mathematical Society
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