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For a group G and a character of G, let c () denote the set of all irreducible characters of G, occurring in. We prove that whenever q 8, all non-trivial irreducible character of PSL₂ (q) satisfies c (⁴) =Irr (PSL₂ (q) ) if q=2^2m+1 and c (³) =Irr (PSL₂ (q) ) otherwise.
Arvind et al. (Fri,) studied this question.