论文标题
具有半黑体缺陷组的主要块的辉煌莫里塔等效性
Splendid Morita equivalences for principal blocks with semidihedral defect groups
论文作者
论文摘要
我们将有限群体的主要块分类为半牙本质缺陷群体,直到出色的莫里塔等效性。这完成了所有主要$ 2 $ 2 $块的驯服代表类型的分类,直到出色的莫里塔等价,并表明Puig的有限猜想对此类障碍物都有。
We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal $2$-blocks of tame representation type up to splendid Morita equivalence and shows that Puig's Finiteness Conjecture holds for such blocks.