| 在主π-块里提升广义特征标 |
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| 引用本文： | 海进科,朱一心.在主π-块里提升广义特征标[J].数学杂志,2003,23(4):407-411. |
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| 作者姓名： | 海进科 朱一心 |
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| 作者单位： | 1. 青岛大学数学系,青岛,266071
2. 首都师范大学数学系,北京,100089 |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofShandong(Y2 0 0 0A0 2 ) |
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| 摘 要： | 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，将广义特征标提升为广义特征标。
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| 关 键 词： | Bπ′-特征标 广义特征标 等距 类函数 主π-块 |
LIFTING GENERALIZED CHARACTERS ON THE PRINCIPAL π-BLOCK |
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| HAI Jin-ke,ZHU Yi-xin.LIFTING GENERALIZED CHARACTERS ON THE PRINCIPAL π-BLOCK[J].Journal of Mathematics,2003,23(4):407-411. |
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| Authors: | HAI Jin-ke ZHU Yi-xin |
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| Abstract: | Isaacs7] defines Bπ' characters in π- separable groups such that the Bp' 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 (see4], 5]), a certain lifting (to be defined below) does send generalized characters to generalized characters. |
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| Keywords: | generalized character isometry classfunction |
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