On zeros of characters of finite groups
Author:
David Chillag
Journal:
Proc. Amer. Math. Soc. 127 (1999), 977983
MSC (1991):
Primary 20Cxx
MathSciNet review:
1487363
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Abstract: We present several results connecting the number of conjugacy classes of a finite group on which an irreducible character vanishes, and the size of some centralizer of an element. For example, we show that if is a finite group such that , then has an element , such that , where is the maximal number of zeros in a row of the character table of . Dual results connecting the number of irreducible characters which are zero on a fixed conjugacy class, and the degree of some irreducible character, are included too. For example, the dual of the above result is the following: Let be a finite group such that ; then has an irreducible character such that , where is the maximal number of zeros in a column of the character table of .
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Additional Information
David Chillag
Affiliation:
Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel
Email:
chillag@techunix.technion.ac.il
DOI:
http://dx.doi.org/10.1090/S0002993999047905
PII:
S 00029939(99)047905
Received by editor(s):
August 1, 1997
Dedicated:
Dedicated to Avinoam Mann on the occasion of his 60th birthday
Communicated by:
Ronald M. Solomon
Article copyright:
© Copyright 1999 American Mathematical Society
