Linckelmann and Murphy have classified the Morita equivalence classes of p-blocks of finite groups whose basic algebra has dimension at most $12$ . We extend their classification to dimension $13$ and $14$ . As predicted by Donovan’s conjecture, we obtain only finitely many such Morita equivalence classes.

中文翻译：

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具有小维基本代数的块

Linckelmann 和 Murphy 对 Morita 等价类进行了分类p- 基本代数至多有维数的有限群块12 美元. 我们将它们的分类扩展到维度13 美元和$14$. 正如多诺万猜想所预测的那样，我们只能获得有限多个这样的 Morita 等价类。