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BLOCKS WITH SMALL-DIMENSIONAL BASIC ALGEBRA
Published online by Cambridge University Press: 21 September 2020
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.
MSC classification
- Type
- Research Article
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- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
This work is supported by the German Research Foundation (SA 2864/1-2 and SA 2864/3-1).
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