论文标题

具有小维基本代数的块

Blocks with small-dimensional basic algebra

论文作者

Sambale, Benjamin

论文摘要

林克曼(Linckelmann)和墨菲(Murphy)将有限群体的p块摩托塔等效类别归类为基本代数最多具有尺寸的p块。我们将它们的分类扩展到维度13和14。正如多诺万(Donovan)的猜想所预测的那样,我们只能获得有限的许多这样的莫里塔等价类别。

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.

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