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 n...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.展开更多
基金Supported by the NSF of Shanxi Province(2013011001-3)
文摘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.
