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BLOCKS WITH SMALL-DIMENSIONAL BASIC ALGEBRA

Published online by Cambridge University Press:  21 September 2020

BENJAMIN SAMBALE*
Affiliation:
Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
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Abstract

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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.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
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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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