Blocks with Frobenius inertial quotients
Blocks with Frobenius inertial quotients
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具有 Frobenius 惯性商的块
DOI：
10.1016/j.jalgebra.2017.06.018
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发表时间：
2017
影响因子：
0.9
通讯作者：
Zhou Yuanyang
中科院分区：
文献类型：
--
作者：
Hu Xueqin;Zhang Kun;Zhou Yuanyang
在本文中，我们证明，在适当的假设下，有限群的块与其布劳尔对应对象之间的完美等距可以扩展到更大的有限群的块与其布劳尔对应对象之间的完美等距。对于导出的等价性，我们也获得了类似的结果。
In the paper, we prove that a perfect isometry between a block of a finite group and its Brauer correspondent can be extended to a perfect isometry between a block of a larger finite group and its Brauer correspondent, with suitable hypotheses. We also obtain a similar result for derived equivalences.