Representation of p-Groups by character tables 

ByS. Hamma and M. A. Mohammed 

ABSTRACT

In this paper, we applied some group concepts to construct some p-groups as well as to display their nature, which represent them by character tables. It was observed that if and belongs to different conjugacy class say and then the entries in the character table for are complex conjugate of the corresponding entries for Also, if  and belongs to the same conjugacy class then the entries in the character table for are real valued. We also applied the Groups, Algorithms and Programming (GAP) version 4.4.12 to assist towards validations of result.  

 

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