Hadiseh Saydi
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Supercharacters and Superclasses of Certain Abelian Groups Hadiseh Saydi; Mohammad Reza Darefsheh; Ali Iranmanesh
Journal of the Indonesian Mathematical Society VOLUME 28 NUMBER 1 (MARCH 2022)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.28.1.1089.97-106

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.