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Paper   IPM / M / 16521
School of Mathematics
  Title:   An analogue of Huppert' s conjecture for character codegrees
  Author(s):  Zeinab Akhlaghi (Joint with A. Bahri and B. Khosravi)
  Status:   To Appear
  Journal: Bull. Austral. Math. Soc.
  Supported by:  IPM
Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and x in Irr(G). Let also cod(x) = - G : kerx - =x(1) and cod(G) = cod(x) - x ∈ Irr(G). In this note, we show that the simple group PSL(2; q), for a prime power q > 3, is uniquely determined by the set of its codegree.

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