Publication details

Finite-dimensional algebras not arising as blocks of group algebras

Authored by

Dave Benson, Benjamin Sambale

Abstract

We develop new techniques to classify basic algebras of blocks of finite groups over algebraically closed fields of prime characteristic. We apply these techniques to simplify and extend previous classifications by Linckelmann, Murphy and Sambale. In particular, we fully classify blocks with 16-dimensional basic algebra.

Details

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s)
University of Aberdeen
Type
Article
Journal
Forum mathematicum
Volume
36
ISSN
0933-7741
Publication date
01.03.2024
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.1515/forum-2023-0037 (Access: Closed )