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- W2953116834 abstract "Let G be a finite p-group, for some prime p, and $psi, theta in Irr(G)$ be irreducible complex characters of G. It has been proved that if, in addition, $psi,theta$ are faithful characters, then the product $psitheta$ is a multiple of an irreducible or it is the nontrivial linear combination of at least $frac{p+1}{2}$ distinct irreducible characters of G. We show that if we do not require the characters to be faithful, then given any integer k>0, we can always find a p-group G and irreducible characters $Psi$ and $Theta$ such that $PsiTheta$ is the nontrivial combination of exactly k distinct irreducible characters. We do this by translating examples of decompositions of restrictions of characters into decompositions of products of characters." @default.
- W2953116834 created "2019-06-27" @default.
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- W2953116834 date "2007-07-27" @default.
- W2953116834 modified "2023-09-27" @default.
- W2953116834 title "Restriction of characters and products of characters" @default.
- W2953116834 hasPublicationYear "2007" @default.
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