BLOCKS WITH SMALL-DIMENSIONAL BASIC ALGEBRA

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 c...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2021-06, Vol.103 (3), p.461-474
Main Author: SAMBALE, BENJAMIN
Format: Article
Language:English
Subjects:
Algebra
Equivalence
Group theory
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S000497272000091X