Morita equivalence classes of $2$-blocks of defect three

Morita equivalence classes of $2$-blocks of defect three
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森田等价类 $2$-缺陷三块

DOI:
10.1090/proc/12886
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发表时间:
2015
影响因子:
1
通讯作者:
Eaton C
Eaton C
中科院分区:
数学3区
文献类型:
--
作者:
Eaton C

文献摘要

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我们给出了一个完整的描述的Morita等价类的块与初等阿贝尔亏群的顺序和它们之间的派生等价。一个后果是验证Broué的交换亏群猜想这些块。它还完成了分类的森田和导出的等价类的块的缺陷最多三个定义在一个合适的字段。引用
We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of orderand of the derived equivalences between them. A consequence is the verification of Broué’s abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of-blocks of defect at most three defined over a suitable field. References