Corpus ID: 235727467

A note on codegrees and Taketa's inequality

  title={A note on codegrees and Taketa's inequality},
  author={M. Delfani and Mohsen Ghasemi and Somayeh Hekmatara},
Let G be a finite group and cd(G) will be the set of the degrees of the complex irreducible characters of G. Also let cod(G) be the set of codegrees of the irreducible characters of G. The Taketa problem conjectures if G is solvable, then dl(G) ≤ |cd(G)|, where dl(G) is the derived length of G. In this note, we show that dl(G) ≤ |cod(G)| in some cases and we conjecture that this inequality holds if G is a finite solvable group. 


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