A note on module structures of source algebras of block ideals of finite groups
A note on module structures of source algebras of block ideals of finite groups
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关于有限群块理想源代数模结构的注记
DOI：
10.1016/j.jalgebra.2017.10.026
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发表时间：
2017
影响因子：
0.9
通讯作者：
T. Okuyama and H. Sasaki
中科院分区：
文献类型：
--
作者：
宮崎直;T. Okuyama and H. Sasaki
设b为具有缺陷群p的素数特征的代数闭域k上有限群G群代数的块理想，给出极大b- brauer对惯性群外的块理想b的源代数的k [px p]-模的直接和；它们的多重度等于1模p。
Let b be a block ideal of the group algebra of a finite group G over an algebraically closed field k of prime characteristic p with a defect group P. Some direct summands, as k [P× P]-module, of a source algebra of the block ideal b outside of the inertial group of a maximal b-Brauer pair will be given; their multiplicities are congruent to 1 modulo p.