论文部分内容阅读
Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character (i.e., irreducibleπ-partial character) of N . We obtain a necessary and sufficient condition for the number of Iπ-characters of G overθ to take the possible maximum |G:N|π. Some applications are given.