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 -