Solvable groups whose monomial, monolithic characters have prime power codegrees

In this note, we prove that if G is solvable and {\rm cod}(\chi) is a p-power for every nonlinear, monomial, monolithic \chi\in {\rm Irr}(G) or every nonlinear, monomial, monolithic \chi \in {\rm IBr} (G), then P is normal in G, where p is a prime and P is a Sylow p-subgroup of G.

کلیدواژه ها:

monomial Characters ، monolithic characters ، character codegrees