论文标题
简单模块的较低缺陷组和顶点
Lower defect groups and vertices of simple modules
论文作者
论文摘要
我们比较了与$ p $ regartular类和简单模块的顶点相关的较低缺陷组，该块是有限组代数的块。我们表明，在合适的重新排序后，较低的缺陷组包含在简单模块的顶点中。此外，对于主类型的块，我们表明一个$ p $的下部缺陷组包含一个简单模块的顶点是该块的缺陷组。
We compare lower defect groups associated with $p$-regular classes and vertices of simple modules for a block of a finite group algebra. We show that lower defect groups are contained in vertices of simple modules after suitable reordering. Moreover, for a block of principal type, we show that a $p$-regular lower defect group which contains a vertex of simple module is a defect group of the block.
