Title of article :
SOLVABLE GROUPS WHOSE MONOMIAL, MONOLITHIC CHARACTERS HAVE PRIME POWER CODEGREES
Author/Authors :
chen ، xiaoyou School of Sciences - Henan University of Technology , Lewis ، Mark L. Department of Mathematical Sciences - Kent State University
Abstract :
In this note, we prove that if G is solvable and cod(χ) is a p-power for every nonlinear, monomial, monolithic χ ∈ Irr(G) or every nonlinear, monomial, monolithic χ ∈ IBr(G), then P is normal in G, where p is a prime and P is a Sylow p-subgroup of G.
Keywords :
monomial Characters , monolithic characters , character codegrees
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
