Open Access Research

On finite groups with their character tables having at most p + 1 zeros in each column

Yanxiong Yan1,2, Haijing Xu1* and Guiyun Chen1

Author Affiliations

1 School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

2 Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, 400067, China

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Journal of Inequalities and Applications 2012, 2012:152 doi:10.1186/1029-242X-2012-152

Published: 5 July 2012

Abstract

In the present paper, the authors classify finite solvable groups whose character tables have at most <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/152/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/152/mathml/M1">View MathML</a> zeros in each column, where p is the minimal prime divisor of their orders.

MSC: 20C15.

Keywords:
finite groups; characters; zeros of characters