Supercharacter Table of Certain Finite Groups

Hadiseh Saydi, M. Darafsheh, A. Iranmanesh
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引用次数: 0

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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一类有限群的超字符表
‎超特征理论是由P‎. ‎Diaconis和I‎. ‎M‎. ‎Isaacs作为经典普通性格理论的自然概括‎. ‎数论的一些经典和表现为GL_d(Z_n)的某些子群对Z_n^d的作用所得到的超特征‎. ‎本文取Z_p^d‎, ‎p素数‎, ‎并且通过GL_d(Z_p)的某些子群的作用,我们得到了Z_p^d的超字符表‎.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
20
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