Finite dimensional algebras not arising as blocks of group algebras
Representation Theory
2023-01-26 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.2301.10537,
title = {Finite dimensional algebras not arising as blocks of group algebras},
author = {Dave Benson and Benjamin Sambale},
journal= {arXiv preprint arXiv:2301.10537},
year = {2023}
}
Comments
17 pages