Representaions of the double Burnside algebra and cohomology of the extraspecial p-group
Representaions of the double Burnside algebra and cohomology of the extraspecial p-group
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超特殊 p 群的双 Burnside 代数和上同调的表示
DOI：
10.1016/j.jalgebra.2014.03.021
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
N. Yagita
中科院分区：
文献类型：
--
作者：
A. HIda;N. Yagita
设E是阶为p3，指数为p的超特殊p-群，其中p是奇素数.本文确定了p-完备分类空间BE模零空间的稳定分裂中被加数的模p上同调。众所周知，模p双伯恩赛德代数的完全稳定分裂中的不可分解和项对应于单模.我们将使用双重伯恩赛德代数的表示理论和偏集函子理论。
Let E be the extraspecial p-group of order p 3 and exponent p where p is an odd prime. We determine the mod p cohomology of summands in the stable splitting of p-completed classifying space BE modulo nilpotence. It is well known that indecomposable summands in the complete stable splitting correspond to simple modules for the mod p double Burnside algebra. We shall use representation theory of the double Burnside algebra and the theory of biset functors.