Details
| Original language | English |
|---|---|
| Pages (from-to) | 461-474 |
| Number of pages | 14 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 103 |
| Issue number | 3 |
| Early online date | 21 Sept 2020 |
| Publication status | Published - Jun 2021 |
Abstract
Linckelmann and Murphy have classified the Morita equivalence classes of p-blocks of finite groups whose basic algebra has dimension at most. We extend their classification to dimension and. As predicted by Donovan's conjecture, we obtain only finitely many such Morita equivalence classes.
Keywords
- basic block algebra, Donovan's conjecture, Morita equivalence
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Bulletin of the Australian Mathematical Society, Vol. 103, No. 3, 06.2021, p. 461-474.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Blocks with Small-Dimensional Basic Algebra
AU - Sambale, Benjamin
N1 - Funding Information: This work is supported by the German Research Foundation (SA 2864/1-2 and SA 2864/3-1). © 2020 Australian Mathematical Publishing Association Inc. 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.
PY - 2021/6
Y1 - 2021/6
N2 - Linckelmann and Murphy have classified the Morita equivalence classes of p-blocks of finite groups whose basic algebra has dimension at most. We extend their classification to dimension and. As predicted by Donovan's conjecture, we obtain only finitely many such Morita equivalence classes.
AB - Linckelmann and Murphy have classified the Morita equivalence classes of p-blocks of finite groups whose basic algebra has dimension at most. We extend their classification to dimension and. As predicted by Donovan's conjecture, we obtain only finitely many such Morita equivalence classes.
KW - basic block algebra
KW - Donovan's conjecture
KW - Morita equivalence
UR - http://www.scopus.com/inward/record.url?scp=85094165324&partnerID=8YFLogxK
U2 - 10.1017/S000497272000091X
DO - 10.1017/S000497272000091X
M3 - Article
AN - SCOPUS:85094165324
VL - 103
SP - 461
EP - 474
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
IS - 3
ER -