On the inductive Alperin–McKay condition for simple groups of type A

On the inductive Alperin–McKay condition for simple groups of type A
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DOI:
10.1016/j.jalgebra.2015.02.011
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发表时间:
2014-03
期刊:
影响因子:
0.9
通讯作者:
M. Cabanes;Britta Spaeth
M. Cabanes;Britta Spaeth
中科院分区:
数学3区
文献类型:
--
作者:
M. Cabanes;Britta Spaeth

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作为[6]的续篇,我们证明了[22]中引入的关于A型单群和具有最大亏损的块的所谓归纳AM-条件。这是为了验证Alperin-McKay猜想而设置的程序的一部分,通过将其简化为关于准单群的问题(见[23]),但也是Brauer高度零猜想的缺失方向(见[21])。
Abstract As a sequel to [6], we verify the so-called inductive AM-condition introduced in [22] for simple groups of type A and blocks with maximal defect. This is part of the program set up to verify the Alperin–McKay Conjecture through its reduction to a problem on quasi-simple groups (see [23]) but also the missing direction of Brauer's height zero conjecture (see [21]).