Abstract
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.
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