Blocks with Small-Dimensional Basic Algebra

authored by

Benjamin Sambale

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Bulletin of the Australian Mathematical Society

Volume

103

Pages

461-474

No. of pages

14

ISSN

0004-9727

Publication date

06.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.1017/S000497272000091X (Access: Open)