A New Approach to the Q-Conjugacy Character Tables of Finite Groups

Authors

Ali Moghani, Seton Hall University

Abstract

In this paper, we study the Q-conjugacy character table of an arbitrary finite group and introduce a general relation between the degrees of Q-conjugacy characters with their corresponding reductions. This could be accomplished by using the Hermitian symmetric form. We provide a useful technique to calculate the character table of a finite group when its corresponding Qconjugacy character table is given. Then, we evaluate our results in some useful examples. Finally, by using GAP (Groups, Algorithms and Programming) package, we calculate all the dominant classes of the sporadic Conway group Co₂ enabling us to find all possible the integer-valued characters for the Conway group Co₂ .

Recommended Citation

Moghani, Ali (2020). A New Approach to the Q-Conjugacy Character Tables of Finite Groups, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 2, Article 36.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/36