论文标题
Broué的猜想是针对基本的Abelian缺陷组32
Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32
论文作者
论文摘要
第一作者最近将有限群体的2块b组的莫里塔对等类别分类为32阶的基本阿贝尔缺陷组。在除三种情况下，他证明了莫里塔等效类别的摩托马属均值。我们通过利用较低缺陷的理论来完成其余病例的惯性商。作为推论，我们在这种情况下验证了Broué的Abelian缺陷群体的猜想。
The first author has recently classified the Morita equivalence classes of 2-blocks B of finite groups with elementary abelian defect group of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of B. We finish the remaining cases by utilizing the theory of lower defect groups. As a corollary, we verify Broué's Abelian Defect Group Conjecture in this situation.
