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‎Supercharacter theory is developed by P‎. ‎Diaconis and I‎. ‎M‎. ‎Isaacs as a natural generalization of the classical ordinary character theory‎. ‎Some classical sums of number theory appear as supercharacters which are obtained by the action of certain subgroups of GL_d(Z_n) on Z_n^d‎. ‎In this paper we take Z_p^d‎, ‎p prime‎, ‎and by the action of certain subgroups of GL_d(Z_p) we find supercharacter table of Z_p^d‎.


‎Supercharacter‎ ‎Superclass‎ ‎Ramanujan sum Kloosterman sum‎ ‎Character table.

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How to Cite
Saydi, H., Darefsheh, M. R., & Iranmanesh, A. (2022). Supercharacters and Superclasses of Certain Abelian Groups. Journal of the Indonesian Mathematical Society, 28(1), 97–106.


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