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- W3022731678 abstract "Let G be a finite group and hat{G} be the set of all irreducible complex characters of G. In this paper, we consider hat{G}, * as a polygroup, where for each chi_i ,chi_j in hat{G} the product chi _{i} * chi_{j} is the set of those irreducible constituents which appear in the element-wise product chi_{i} chi_{j}. We call that hat{G} simple if it has no proper normal subpolygroup and show that if hat{G} is a single power cyclic polygroup, then hat{G} is a simple polygroup and hence hat{S}_{n} and hat{A}_{n} are simple polygroups. Also, we prove that if G is a non-abelian simple group, then hat{G} is a single power cyclic polygroup. Moreover, we classify hat{D}_{2n} for all n. Also, we prove that hat{T}_{4n} and hat{U}_{6n} are cyclic polygroups with finite period." @default.
- W3022731678 created "2020-05-13" @default.
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- W3022731678 date "2020-03-01" @default.
- W3022731678 modified "2023-10-16" @default.
- W3022731678 title "Character Table Groups and Extracted Simple and Cyclic Polygroups" @default.
- W3022731678 cites W2157603437 @default.
- W3022731678 doi "https://doi.org/10.22342/jims.26.1.742.22-36" @default.
- W3022731678 hasPublicationYear "2020" @default.
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