English

Blocks with small-dimensional basic algebra

Representation Theory 2021-07-01 v1 Rings and Algebras

Abstract

Linckelmann and Murphy have classified the Morita equivalence classes of p-blocks of finite groups whose basic algebra has dimension at most 12. We extend their classification to dimension 13 and 14. As predicted by Donovan's Conjecture, we obtain only finitely many such Morita equivalence classes.

Keywords

Cite

@article{arxiv.2005.13172,
  title  = {Blocks with small-dimensional basic algebra},
  author = {Benjamin Sambale},
  journal= {arXiv preprint arXiv:2005.13172},
  year   = {2021}
}

Comments

13 pages

R2 v1 2026-06-23T15:50:38.279Z