
TL;DR
This paper extends the classification of p-blocks of finite groups with basic algebra dimensions of 13 and 14, confirming the finiteness of Morita equivalence classes as predicted by Donovan's Conjecture.
Contribution
It advances the classification of blocks with small-dimensional basic algebras from dimension 12 to 14, supporting Donovan's Conjecture.
Findings
Finitely many Morita equivalence classes for dimensions 13 and 14
Extension of previous classification up to dimension 12
Confirmation of Donovan's Conjecture predictions
Abstract
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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