【摘要】 设H为任意有限群G的一个次正规子群,θ为H的一个不可约复特征标.文章证明了若特征标对(H,θ)在G中满足共轭封闭性,则特征标的诱导可定义一个双射:Irr(T|θ)→Irr(G|θ),ξ|→ξG,其中T=IG(H,θ)为该特征标对在G中的惯性群.此外,定理还推广了著名的Clifford对应以及Isaacs在1984年提出的极大Fπ-对应.更多还原

【Abstract】 Let H be a subnormal subgroup of a finite group G and let θ be a complex irreducible character of H. It is proved that if the character pair (H,θ) satisfies the conjugation closed property, then there exists a one to one map from Irr(T|θ) onto (G|θ) defined by character induction, where T is the inertia group of the pair (H,θ) in G. Moreover, our theorem generalizes the Clifford’s correspondence and Isaacs’ maximal F_π-correspondence.更多还原