论文标题
在具有正常缺陷组的块上的PICENT上
On Picent for blocks with normal defect group
论文作者
论文摘要
我们证明，如果$ b $是一个有限组的一个块，该组具有普通的阿贝里亚缺陷组和惯性商，则是基本阿贝尔组的直接产品，然后$ \ operatatorName {picent}（b）$是微不足道的。我们还提供了$ b $的有限群体的示例，其中有非平凡的$ \ permatatorName {picent}（b）$。我们甚至有正常的阿贝利亚缺陷组和阿贝利安惯性商的例子。
We prove that if $b$ is a block of a finite group with normal abelian defect group and inertial quotient a direct product of elementary abelian groups, then $\operatorname{Picent}(b)$ is trivial. We also provide examples of blocks $b$ of finite groups with non-trivial $\operatorname{Picent}(b)$. We even have examples with normal abelian defect group and abelian inertial quotient.
