在主π-块里提升广义特征标(英文)

LIFTING GENERALIZED CHARACTERS ON THE PRINCIPAL π-BLOCK

在文献中 [7]中 ,Isaacs定义了π 可分解下的Bπ′ 特征标 ,使Bp′ 特征标是对p 可分群G的p 模特征标的“典型提升”。结果 ,人们能把π 可分群的Bπ′ 特征标作为π 正则类函数的一组基 ,使用Isaacs的工作和π 块理论 ,建立了一种映射 。

Isaacs defines B π′ characters in π separable groups such that the B p′ characters of G form a set of anonical lifts for the p modular characters of a p separable group. Consequently, one can view the B π′ characters of a π separable group as a basis of π regular class functions. Using Isaacs' work, it is possible to lift generalized characters. In this paper, by using π block theories (see,), a certain lifting (to be defined below) does send generalized characters to generalized characters.