论文标题
稳定的Unital，高焦点亚呼吸桥和基本的莫里塔等价
Stable unital basis, hyperfocal subalgebras and basic Morita equivalences
论文作者
论文摘要
我们研究了Barker和Gelvin在[3]中引入的猜想1.6，该猜想说，P块的任何源代数（P是素数）有限组的单位组，该单位组包含由缺陷组的左右动作稳定的基础。我们将把这种猜想减少到有关源代数中超焦点亚词法基础的类似陈述。我们还将表明，通过缺陷组的左右作用稳定的两个P块的源代数的这种UNITAL基础是运输的基本莫里塔等同。
We investigate Conjecture 1.6 introduced by Barker and Gelvin in [3], which says that any source algebra of a p-block (p is a prime) of finite group has the unit group containing a basis stabilized by left and right action of the defect group. We will reduce this conjecture to a similar statement about basis of the hyperfocal subalgebras in the source algebra. We will also show that such unital basis of source algebras of two p-blocks, stabilized by left and right action of the defect group, are transported trough basic Morita equivalences.
