CERTAIN MONOMIAL CHARACTERS AND THEIR NORMAL CONSTITUENTS

摘要

Suppose that G is a finite p-solvable group such that N_G(P)/P has odd order, where P ∈ Syl_p(G). If χ is an irreducible complex character with degree not divisible by p and field of values contained in a cyclotomic field Q_pa, then every subnormal constituent of χ is monomial. Also, the number of such irreducible characters is the number of N_G(P)-orbits on P/P'.