Sp6(2a) is "Good" for the McKay, Alperin weight, and related local-global conjectures

被引：9
作者：
Fry, Amanda A. Schaeffer [1 ]
机构：
[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
来源：
JOURNAL OF ALGEBRA | 2014年 / 401卷
基金：
美国国家科学基金会;
关键词：
Cross characteristic representations; Local-global conjectures; Finite classical groups; Alperin weight conjecture; McKay conjecture; Alperin-McKay conjecture; CROSS-CHARACTERISTIC REPRESENTATIONS; DECOMPOSITION NUMBERS; REDUCTION THEOREM; BLOCKS; CHARACTERS;
D O I：
10.1016/j.jalgebra.2013.12.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The so-called "local global" conjectures in the representation theory of finite groups relate the representation theory of G to that of certain proper subgroups, such as the normalizers of particular p-groups. Recent results by several authors reduce some of these conjectures to showing that a certain collection of stronger conditions holds for all finite simple groups. Here, we show that G = Sp(6)(2(a)) is "good" for these reductions for the McKay conjecture, the Alperin weight conjecture, and their blockwise versions. (C) 2014 Elsevier Inc. All rights reserved.
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页码：13 / 47
页数：35
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