论文标题
PICARD组，用于正常缺陷组和线性源双模型的块
Picard groups for blocks with normal defect groups and linear source bimodules
论文作者
论文摘要
对于任何诱导块的莫里塔自动等量的双模模型是否必须具有内授予源来源，这是一个空旷的问题。我们证明，对于具有奇数特征的普通缺陷组的块$ b $，更强的结果成立，即所有这些双模模都有线性源。我们还证明了特征性$ 2 $的类似结果，前提是缺陷组具有特定的，略微限制的形式。
It is an open problem as to whether any bimodule inducing a Morita auto-equivalence of a block must have endopermutation source. We prove that, for blocks $b$ with normal defect groups in odd characteristic, a stronger result holds, namely that all such bimodules have linear source. We also prove the analogous result in characteristic $2$, provided that the defect group is of a specific, slightly restrictive, form.
