π-可分群子群的Fong特征标  

Fong Characters in Subgroups of π-separable Groups

作　　者：梁素萍[1] 李宏伟[2] 

机构地区：[1]忻州师范学院数学系,山西忻州034000 [2]山西大学数学系,山西太原030006

出　　处：《山西师范大学学报（自然科学版）》2004年第4期1-3,共3页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：G为π 可分群,H为G的Hallπ 子群,N为G的正规子群,G=NH,α∈Irr(H),β∈Irr(M),θ∈Bπ(N),χ∈Bπ(G)它们存在诱导关系,即α=βH,χ=θG的条件下,本文讨论了α为H在G中与χ相伴的Fong特征标与β为M在N中与θ相伴的Fong特征标之间的关系.Let G be a π-separable group, N a normal subgroup of G and H,a H all π-separable group of G. Suppose that G=NH, α∈Irr(H),β∈Irr(M),θ∈B_π(N),and χ∈B_π(G). Under the condition α=β~H,and χ=θ~G,in this paper we discuss the certain relation between α being a Fong characters associated with χ of H in G and β being a Fong characters associated with θ of M in N.

关 键 词：FONG特征标 Π-可分群 π-子群 正规子群 条件 存在 诱导 关系 

分 类 号：O152.1[理学—数学] O153.1[理学—基础数学]