2010•Archives of applied science researchRequires access

Representation of p-Groups by character tables

S. Hamma, Ma. 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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Available abstract

Key concepts: Character table, Conjugacy class, Character (mathematics), Table (database), Group (periodic table), Class (philosophy), Representation (politics), Conjugate