有限群中保持单项性的特征标对应

Character Correspondence Remains Monomial in Finite Group

设N是群G的正规子群,θ∈Irr(N).由Clifford定理,对于θG的任何不可约分量χ,存在唯一的∈Irr(IG(θ)),使得χ=G.这样,就可以构造映射:χ→.一般而言,当χ是单项的时,不能保证是单项的.作者研究了该映射的单项性.

Let N be normal subgroup of finite group G and θ∈ Irr（N）. By the theorem of Clifford, for eachirreducible constituents X of G, there exists one and only one φ∈Irr（IG（θ））, such that X=φ^G. So a mapfrom Irr（G） to Irr（IG（θ）） which sends X to φ can be constructed. In general,φ does not necessarily bemonomial even X is an monomial character. In this paper, this map is discussed.