On zero patterns of characters of finite groups

Document Type : Research Paper

Authors

1 School of Science, Sichuan University of Science and Engineering, Zigong, 643000, P. R. China

2 Sichuan University of Science and Engineering

3 China Agricultural University

Abstract

The aim of this note is to characterize the finite‎ ‎groups in which all non-linear irreducible characters have distinct zero entries number‎.

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Main Subjects

References

Y. Berkovich, D. Chillag and M. Herzog (1992). Finite groups in which the degrees of the non-linear irreducible characters are distinct. Proc. Amer. Math. Soc.. 115, 955-959 W. Feit and G. M. Seitz (1989). On finite rational groups and related topics. Illinois J. Math.. 33, 103-131 S. M. Gagola (1983). Characters vanishing on all but two conjugacy classes. Pacific J. Math.. 109, 363-385 I. M. Isaacs (1976). Character theory of finite groups. Academic Prees, New York. I. M. Isaacs, G. Navarro and T. R. Wolf (1999). Finite group elements where no irreducible character vanishes. J. Algebra. 222, 413-423 P. P. Pacutealfy (1981). Groups with two non-linear irreducible representations. Ann. Uni. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math.. 24, 181-192 Y. C. Ren and X. Y. Li (2000). The action of the linear character group on the set of non-linear irreducible characters. Chinese Ann. Math. Ser. B. 21, 511-524 J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Park and R. A. Wilson (1985). Atlas of finite groups. Oxford University Press, Eynsham. J. S. Zhang, Z. C. Shen and S. L. Wu (2013). A note on the number of zeros in the columns of the character table of a group. J. Algebra Appl.. 12, 1-10
International Journal of Group Theory
Volume 3, Issue 4 - Serial Number 4
December 2014
Pages 27-31

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History

  • Receive Date: 30 October 2013
  • Revise Date: 23 March 2014
  • Accept Date: 24 March 2014
  • Published Online: 01 December 2014

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