论文标题
带有Abelian缺陷组的2个街区和一个自由表演的循环惯性商
2-blocks with an abelian defect group and a freely acting cyclic inertial quotient
论文作者
论文摘要
我们研究了一个Abelian缺陷组和一个环状惯性商的块，自由行动，但不是传统的。我们证明，当p = 2时，这样的块是惯性的，即基本的莫里塔等于其brauer通讯员。加上第二作者对同射体缺陷组上的歌手周期动作的结果，这完成了2个块的分类，并以循环惯性商自由作用于Abelian缺陷组。
We study blocks with an abelian defect group and a cyclic inertial quotient acting freely but not transitively. We prove that when p=2, such blocks are inertial, i.e. basic Morita equivalent to their Brauer correspondent. Together with a result of the second author on Singer cycle actions on homocyclic defect groups, this completes the classification of 2-blocks with a cyclic inertial quotient acting freely on an abelian defect group.
