English

On the local rank of fusion systems

Group Theory 2022-02-18 v1 Representation Theory

Abstract

In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work by Kn\"orr and Robinson.

Keywords

Cite

@article{arxiv.2202.08411,
  title  = {On the local rank of fusion systems},
  author = {Jun Liao and Heguo Liu and Baoshan Wang and Jiping Zhang},
  journal= {arXiv preprint arXiv:2202.08411},
  year   = {2022}
}

Comments

16 pages