On the p-extensions of inertial blocks

On the p-extensions of inertial blocks
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DOI:
10.1016/j.jalgebra.2014.10.023
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发表时间:
2015-02
期刊:
影响因子:
0.9
通讯作者:
Yuanyang Zhou
Yuanyang Zhou
中科院分区:
数学3区
文献类型:
--
作者:
Yuanyang Zhou

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假设块是惯性块,并且具有阿贝尔亏群。我们证明了一个双模诱导一个基本的Morita等价之间的块和它的Brauer对应承认阿贝尔等变p-扩张。
Assume that a block is inertial and has abelian defect groups. We prove that a bimodule inducing a basic Morita equivalence between this block and its Brauer correspondence admits an abelian equivariantp-extension.